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Finding the Fourth Proportional to 42,487.87, 63,740.31 and 23,794.49

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Solution

The fourth proportional to 42,487.87, 63,740.31 and 23,794.49 is: 35,696.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,487.87 : 63,740.31 = 23,794.49 : x
  2. Step 2: Convert to fraction form
    42,487.87/63,740.31 = 23,794.49/x
  3. Step 3: Cross multiply
    42,487.87x = 63,740.31 × 23,794.49
  4. Step 4: Simplify right side
    42,487.87x = 1,516,668,168.89
  5. Step 5: Solve for x
    x = 1,516,668,168.89/42,487.87
  6. Step 6: Final answer
    x = 35,696.50

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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.