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Finding the Fourth Proportional to 71,461.80, 107,119.80 and 41,864.40

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Solution

The fourth proportional to 71,461.80, 107,119.80 and 41,864.40 is: 62,753.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,461.80 : 107,119.80 = 41,864.40 : x
  2. Step 2: Convert to fraction form
    71,461.80/107,119.80 = 41,864.40/x
  3. Step 3: Cross multiply
    71,461.80x = 107,119.80 × 41,864.40
  4. Step 4: Simplify right side
    71,461.80x = 4,484,506,155.12
  5. Step 5: Solve for x
    x = 4,484,506,155.12/71,461.80
  6. Step 6: Final answer
    x = 62,753.89

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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.