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Finding the Fourth Proportional to 32,001.60, 48,003.62 and 12,282.15

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Solution

The fourth proportional to 32,001.60, 48,003.62 and 12,282.15 is: 18,423.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,001.60 : 48,003.62 = 12,282.15 : x
  2. Step 2: Convert to fraction form
    32,001.60/48,003.62 = 12,282.15/x
  3. Step 3: Cross multiply
    32,001.60x = 48,003.62 × 12,282.15
  4. Step 4: Simplify right side
    32,001.60x = 589,587,599.97
  5. Step 5: Solve for x
    x = 589,587,599.97/32,001.60
  6. Step 6: Final answer
    x = 18,423.69

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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.