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Finding the Fourth Proportional to 70,881.80, 106,337.10 and 24,139.40

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Solution

The fourth proportional to 70,881.80, 106,337.10 and 24,139.40 is: 36,214.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,881.80 : 106,337.10 = 24,139.40 : x
  2. Step 2: Convert to fraction form
    70,881.80/106,337.10 = 24,139.40/x
  3. Step 3: Cross multiply
    70,881.80x = 106,337.10 × 24,139.40
  4. Step 4: Simplify right side
    70,881.80x = 2,566,913,791.74
  5. Step 5: Solve for x
    x = 2,566,913,791.74/70,881.80
  6. Step 6: Final answer
    x = 36,214.00

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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.