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Finding the Fourth Proportional to 57,242.48, 85,884.15 and 34,798.82

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Solution

The fourth proportional to 57,242.48, 85,884.15 and 34,798.82 is: 52,210.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,242.48 : 85,884.15 = 34,798.82 : x
  2. Step 2: Convert to fraction form
    57,242.48/85,884.15 = 34,798.82/x
  3. Step 3: Cross multiply
    57,242.48x = 85,884.15 × 34,798.82
  4. Step 4: Simplify right side
    57,242.48x = 2,988,667,076.70
  5. Step 5: Solve for x
    x = 2,988,667,076.70/57,242.48
  6. Step 6: Final answer
    x = 52,210.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.