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Finding the Fourth Proportional to 32,005.52, 48,008.76 and 14,475.92

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Solution

The fourth proportional to 32,005.52, 48,008.76 and 14,475.92 is: 21,714.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,005.52 : 48,008.76 = 14,475.92 : x
  2. Step 2: Convert to fraction form
    32,005.52/48,008.76 = 14,475.92/x
  3. Step 3: Cross multiply
    32,005.52x = 48,008.76 × 14,475.92
  4. Step 4: Simplify right side
    32,005.52x = 694,970,969.06
  5. Step 5: Solve for x
    x = 694,970,969.06/32,005.52
  6. Step 6: Final answer
    x = 21,714.10

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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.