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Finding the Fourth Proportional to 61,542, 91,829.96 and 57,780.36

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Solution

The fourth proportional to 61,542, 91,829.96 and 57,780.36 is: 86,217.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,542 : 91,829.96 = 57,780.36 : x
  2. Step 2: Convert to fraction form
    61,542/91,829.96 = 57,780.36/x
  3. Step 3: Cross multiply
    61,542x = 91,829.96 × 57,780.36
  4. Step 4: Simplify right side
    61,542x = 5,305,968,147.59
  5. Step 5: Solve for x
    x = 5,305,968,147.59/61,542
  6. Step 6: Final answer
    x = 86,217.02

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.