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Finding the Fourth Proportional to 32,275.16, 48,400.56 and 12,551.24

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Solution

The fourth proportional to 32,275.16, 48,400.56 and 12,551.24 is: 18,822.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,275.16 : 48,400.56 = 12,551.24 : x
  2. Step 2: Convert to fraction form
    32,275.16/48,400.56 = 12,551.24/x
  3. Step 3: Cross multiply
    32,275.16x = 48,400.56 × 12,551.24
  4. Step 4: Simplify right side
    32,275.16x = 607,487,044.69
  5. Step 5: Solve for x
    x = 607,487,044.69/32,275.16
  6. Step 6: Final answer
    x = 18,822.12

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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.