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Finding the Fourth Proportional to 75,140.50, 103,693.15 and 40,685.07

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Solution

The fourth proportional to 75,140.50, 103,693.15 and 40,685.07 is: 56,144.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,140.50 : 103,693.15 = 40,685.07 : x
  2. Step 2: Convert to fraction form
    75,140.50/103,693.15 = 40,685.07/x
  3. Step 3: Cross multiply
    75,140.50x = 103,693.15 × 40,685.07
  4. Step 4: Simplify right side
    75,140.50x = 4,218,762,344.38
  5. Step 5: Solve for x
    x = 4,218,762,344.38/75,140.50
  6. Step 6: Final answer
    x = 56,144.99

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.