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Finding the Fourth Proportional to 42,034.48, 63,053.04 and 15,734.20

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Solution

The fourth proportional to 42,034.48, 63,053.04 and 15,734.20 is: 23,601.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,034.48 : 63,053.04 = 15,734.20 : x
  2. Step 2: Convert to fraction form
    42,034.48/63,053.04 = 15,734.20/x
  3. Step 3: Cross multiply
    42,034.48x = 63,053.04 × 15,734.20
  4. Step 4: Simplify right side
    42,034.48x = 992,089,141.97
  5. Step 5: Solve for x
    x = 992,089,141.97/42,034.48
  6. Step 6: Final answer
    x = 23,601.79

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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.