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Finding the Fourth Proportional to 31,931,452.80, 47,842,066.80 and 14,857,106.40

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Solution

The fourth proportional to 31,931,452.80, 47,842,066.80 and 14,857,106.40 is: 22,260,016.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,931,452.80 : 47,842,066.80 = 14,857,106.40 : x
  2. Step 2: Convert to fraction form
    31,931,452.80/47,842,066.80 = 14,857,106.40/x
  3. Step 3: Cross multiply
    31,931,452.80x = 47,842,066.80 × 14,857,106.40
  4. Step 4: Simplify right side
    31,931,452.80x = 710,794,676,843,507.50
  5. Step 5: Solve for x
    x = 710,794,676,843,507.50/31,931,452.80
  6. Step 6: Final answer
    x = 22,260,016.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.