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Finding the Fourth Proportional to 32,539.60, 48,809.16 and 9,165.52

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Solution

The fourth proportional to 32,539.60, 48,809.16 and 9,165.52 is: 13,748.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,539.60 : 48,809.16 = 9,165.52 : x
  2. Step 2: Convert to fraction form
    32,539.60/48,809.16 = 9,165.52/x
  3. Step 3: Cross multiply
    32,539.60x = 48,809.16 × 9,165.52
  4. Step 4: Simplify right side
    32,539.60x = 447,361,332.16
  5. Step 5: Solve for x
    x = 447,361,332.16/32,539.60
  6. Step 6: Final answer
    x = 13,748.21

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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.