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Finding the Fourth Proportional to 32,337.84, 48,507.88 and 8,966

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Solution

The fourth proportional to 32,337.84, 48,507.88 and 8,966 is: 13,449.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,337.84 : 48,507.88 = 8,966 : x
  2. Step 2: Convert to fraction form
    32,337.84/48,507.88 = 8,966/x
  3. Step 3: Cross multiply
    32,337.84x = 48,507.88 × 8,966
  4. Step 4: Simplify right side
    32,337.84x = 434,921,652.08
  5. Step 5: Solve for x
    x = 434,921,652.08/32,337.84
  6. Step 6: Final answer
    x = 13,449.31

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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.