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Finding the Fourth Proportional to 85,534.58, 128,265.17 and 29,380.34

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Solution

The fourth proportional to 85,534.58, 128,265.17 and 29,380.34 is: 44,057.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,534.58 : 128,265.17 = 29,380.34 : x
  2. Step 2: Convert to fraction form
    85,534.58/128,265.17 = 29,380.34/x
  3. Step 3: Cross multiply
    85,534.58x = 128,265.17 × 29,380.34
  4. Step 4: Simplify right side
    85,534.58x = 3,768,473,516.53
  5. Step 5: Solve for x
    x = 3,768,473,516.53/85,534.58
  6. Step 6: Final answer
    x = 44,057.90

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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.