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Finding the Fourth Proportional to 25,029.12, 37,542.24 and 7,499.28

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Solution

The fourth proportional to 25,029.12, 37,542.24 and 7,499.28 is: 11,248.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,029.12 : 37,542.24 = 7,499.28 : x
  2. Step 2: Convert to fraction form
    25,029.12/37,542.24 = 7,499.28/x
  3. Step 3: Cross multiply
    25,029.12x = 37,542.24 × 7,499.28
  4. Step 4: Simplify right side
    25,029.12x = 281,539,769.59
  5. Step 5: Solve for x
    x = 281,539,769.59/25,029.12
  6. Step 6: Final answer
    x = 11,248.49

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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.