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Finding the Fourth Proportional to 32,205.60, 48,296.52 and 11,140.20

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Solution

The fourth proportional to 32,205.60, 48,296.52 and 11,140.20 is: 16,706.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,205.60 : 48,296.52 = 11,140.20 : x
  2. Step 2: Convert to fraction form
    32,205.60/48,296.52 = 11,140.20/x
  3. Step 3: Cross multiply
    32,205.60x = 48,296.52 × 11,140.20
  4. Step 4: Simplify right side
    32,205.60x = 538,032,892.10
  5. Step 5: Solve for x
    x = 538,032,892.10/32,205.60
  6. Step 6: Final answer
    x = 16,706.19

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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.