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Finding the Fourth Proportional to 85,049.52, 127,575.44 and 32,461.84

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Solution

The fourth proportional to 85,049.52, 127,575.44 and 32,461.84 is: 48,693.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,049.52 : 127,575.44 = 32,461.84 : x
  2. Step 2: Convert to fraction form
    85,049.52/127,575.44 = 32,461.84/x
  3. Step 3: Cross multiply
    85,049.52x = 127,575.44 × 32,461.84
  4. Step 4: Simplify right side
    85,049.52x = 4,141,333,521.21
  5. Step 5: Solve for x
    x = 4,141,333,521.21/85,049.52
  6. Step 6: Final answer
    x = 48,693.20

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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.