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Finding the Fourth Proportional to 57,202, 85,849.08 and 29,507.92

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Solution

The fourth proportional to 57,202, 85,849.08 and 29,507.92 is: 44,285.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,202 : 85,849.08 = 29,507.92 : x
  2. Step 2: Convert to fraction form
    57,202/85,849.08 = 29,507.92/x
  3. Step 3: Cross multiply
    57,202x = 85,849.08 × 29,507.92
  4. Step 4: Simplify right side
    57,202x = 2,533,227,784.71
  5. Step 5: Solve for x
    x = 2,533,227,784.71/57,202
  6. Step 6: Final answer
    x = 44,285.65

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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.