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Finding the Fourth Proportional to 57,971.70, 86,825.52 and 34,549.74

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Solution

The fourth proportional to 57,971.70, 86,825.52 and 34,549.74 is: 51,745.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,971.70 : 86,825.52 = 34,549.74 : x
  2. Step 2: Convert to fraction form
    57,971.70/86,825.52 = 34,549.74/x
  3. Step 3: Cross multiply
    57,971.70x = 86,825.52 × 34,549.74
  4. Step 4: Simplify right side
    57,971.70x = 2,999,799,141.36
  5. Step 5: Solve for x
    x = 2,999,799,141.36/57,971.70
  6. Step 6: Final answer
    x = 51,745.92

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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.