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Finding the Fourth Proportional to 32,001.60, 48,002.40 and 20,366.40

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Solution

The fourth proportional to 32,001.60, 48,002.40 and 20,366.40 is: 30,549.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,001.60 : 48,002.40 = 20,366.40 : x
  2. Step 2: Convert to fraction form
    32,001.60/48,002.40 = 20,366.40/x
  3. Step 3: Cross multiply
    32,001.60x = 48,002.40 × 20,366.40
  4. Step 4: Simplify right side
    32,001.60x = 977,636,079.36
  5. Step 5: Solve for x
    x = 977,636,079.36/32,001.60
  6. Step 6: Final answer
    x = 30,549.60

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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.