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Finding the Fourth Proportional to 32,347.92, 48,498.54 and 10,149.36

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Solution

The fourth proportional to 32,347.92, 48,498.54 and 10,149.36 is: 15,216.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,347.92 : 48,498.54 = 10,149.36 : x
  2. Step 2: Convert to fraction form
    32,347.92/48,498.54 = 10,149.36/x
  3. Step 3: Cross multiply
    32,347.92x = 48,498.54 × 10,149.36
  4. Step 4: Simplify right side
    32,347.92x = 492,229,141.93
  5. Step 5: Solve for x
    x = 492,229,141.93/32,347.92
  6. Step 6: Final answer
    x = 15,216.72

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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.