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Finding the Fourth Proportional to 42,189.52, 63,287.52 and 11,024.32

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Solution

The fourth proportional to 42,189.52, 63,287.52 and 11,024.32 is: 16,537.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,189.52 : 63,287.52 = 11,024.32 : x
  2. Step 2: Convert to fraction form
    42,189.52/63,287.52 = 11,024.32/x
  3. Step 3: Cross multiply
    42,189.52x = 63,287.52 × 11,024.32
  4. Step 4: Simplify right side
    42,189.52x = 697,701,872.49
  5. Step 5: Solve for x
    x = 697,701,872.49/42,189.52
  6. Step 6: Final answer
    x = 16,537.33

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.