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Finding the Fourth Proportional to 32,915.80, 49,385.22 and 9,543.64

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Solution

The fourth proportional to 32,915.80, 49,385.22 and 9,543.64 is: 14,318.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,915.80 : 49,385.22 = 9,543.64 : x
  2. Step 2: Convert to fraction form
    32,915.80/49,385.22 = 9,543.64/x
  3. Step 3: Cross multiply
    32,915.80x = 49,385.22 × 9,543.64
  4. Step 4: Simplify right side
    32,915.80x = 471,314,761.00
  5. Step 5: Solve for x
    x = 471,314,761.00/32,915.80
  6. Step 6: Final answer
    x = 14,318.80

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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.