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Finding the Fourth Proportional to 60,729.70, 91,058.10 and 31,205.20

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Solution

The fourth proportional to 60,729.70, 91,058.10 and 31,205.20 is: 46,789.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,729.70 : 91,058.10 = 31,205.20 : x
  2. Step 2: Convert to fraction form
    60,729.70/91,058.10 = 31,205.20/x
  3. Step 3: Cross multiply
    60,729.70x = 91,058.10 × 31,205.20
  4. Step 4: Simplify right side
    60,729.70x = 2,841,486,222.12
  5. Step 5: Solve for x
    x = 2,841,486,222.12/60,729.70
  6. Step 6: Final answer
    x = 46,789.07

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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.