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Finding the Fourth Proportional to 32,076.12, 48,114.20 and 8,702.56

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Solution

The fourth proportional to 32,076.12, 48,114.20 and 8,702.56 is: 13,053.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,076.12 : 48,114.20 = 8,702.56 : x
  2. Step 2: Convert to fraction form
    32,076.12/48,114.20 = 8,702.56/x
  3. Step 3: Cross multiply
    32,076.12x = 48,114.20 × 8,702.56
  4. Step 4: Simplify right side
    32,076.12x = 418,716,712.35
  5. Step 5: Solve for x
    x = 418,716,712.35/32,076.12
  6. Step 6: Final answer
    x = 13,053.85

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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.