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Finding the Fourth Proportional to 32,092.92, 48,134.90 and 9,907.02

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Solution

The fourth proportional to 32,092.92, 48,134.90 and 9,907.02 is: 14,859.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,092.92 : 48,134.90 = 9,907.02 : x
  2. Step 2: Convert to fraction form
    32,092.92/48,134.90 = 9,907.02/x
  3. Step 3: Cross multiply
    32,092.92x = 48,134.90 × 9,907.02
  4. Step 4: Simplify right side
    32,092.92x = 476,873,417.00
  5. Step 5: Solve for x
    x = 476,873,417.00/32,092.92
  6. Step 6: Final answer
    x = 14,859.15

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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.