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Finding the Fourth Proportional to 32,476.24, 48,714.90 and 9,101.80

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Solution

The fourth proportional to 32,476.24, 48,714.90 and 9,101.80 is: 13,652.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,476.24 : 48,714.90 = 9,101.80 : x
  2. Step 2: Convert to fraction form
    32,476.24/48,714.90 = 9,101.80/x
  3. Step 3: Cross multiply
    32,476.24x = 48,714.90 × 9,101.80
  4. Step 4: Simplify right side
    32,476.24x = 443,393,276.82
  5. Step 5: Solve for x
    x = 443,393,276.82/32,476.24
  6. Step 6: Final answer
    x = 13,652.85

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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.