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Finding the Fourth Proportional to 32,002.60, 48,005.12 and 12,283.15

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Solution

The fourth proportional to 32,002.60, 48,005.12 and 12,283.15 is: 18,425.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,002.60 : 48,005.12 = 12,283.15 : x
  2. Step 2: Convert to fraction form
    32,002.60/48,005.12 = 12,283.15/x
  3. Step 3: Cross multiply
    32,002.60x = 48,005.12 × 12,283.15
  4. Step 4: Simplify right side
    32,002.60x = 589,654,089.73
  5. Step 5: Solve for x
    x = 589,654,089.73/32,002.60
  6. Step 6: Final answer
    x = 18,425.19

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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.