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Finding the Fourth Proportional to 85,084.01, 127,612 and 31,761.98

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Solution

The fourth proportional to 85,084.01, 127,612 and 31,761.98 is: 47,637.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,084.01 : 127,612 = 31,761.98 : x
  2. Step 2: Convert to fraction form
    85,084.01/127,612 = 31,761.98/x
  3. Step 3: Cross multiply
    85,084.01x = 127,612 × 31,761.98
  4. Step 4: Simplify right side
    85,084.01x = 4,053,209,791.76
  5. Step 5: Solve for x
    x = 4,053,209,791.76/85,084.01
  6. Step 6: Final answer
    x = 47,637.74

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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.