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Finding the Fourth Proportional to 57,136.34, 85,671.68 and 30,449.48

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Solution

The fourth proportional to 57,136.34, 85,671.68 and 30,449.48 is: 45,656.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,136.34 : 85,671.68 = 30,449.48 : x
  2. Step 2: Convert to fraction form
    57,136.34/85,671.68 = 30,449.48/x
  3. Step 3: Cross multiply
    57,136.34x = 85,671.68 × 30,449.48
  4. Step 4: Simplify right side
    57,136.34x = 2,608,657,526.12
  5. Step 5: Solve for x
    x = 2,608,657,526.12/57,136.34
  6. Step 6: Final answer
    x = 45,656.72

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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.