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Finding the Fourth Proportional to 32,281.92, 48,431.52 and 12,566.16

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Solution

The fourth proportional to 32,281.92, 48,431.52 and 12,566.16 is: 18,852.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,281.92 : 48,431.52 = 12,566.16 : x
  2. Step 2: Convert to fraction form
    32,281.92/48,431.52 = 12,566.16/x
  3. Step 3: Cross multiply
    32,281.92x = 48,431.52 × 12,566.16
  4. Step 4: Simplify right side
    32,281.92x = 608,598,229.36
  5. Step 5: Solve for x
    x = 608,598,229.36/32,281.92
  6. Step 6: Final answer
    x = 18,852.60

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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.