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Finding the Fourth Proportional to 51,864.80, 77,854.80 and 32,165.60

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Solution

The fourth proportional to 51,864.80, 77,854.80 and 32,165.60 is: 48,284.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,864.80 : 77,854.80 = 32,165.60 : x
  2. Step 2: Convert to fraction form
    51,864.80/77,854.80 = 32,165.60/x
  3. Step 3: Cross multiply
    51,864.80x = 77,854.80 × 32,165.60
  4. Step 4: Simplify right side
    51,864.80x = 2,504,246,354.88
  5. Step 5: Solve for x
    x = 2,504,246,354.88/51,864.80
  6. Step 6: Final answer
    x = 48,284.12

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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.