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Finding the Fourth Proportional to 101,470.80, 152,227.80 and 31,357.20

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Solution

The fourth proportional to 101,470.80, 152,227.80 and 31,357.20 is: 47,042.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,470.80 : 152,227.80 = 31,357.20 : x
  2. Step 2: Convert to fraction form
    101,470.80/152,227.80 = 31,357.20/x
  3. Step 3: Cross multiply
    101,470.80x = 152,227.80 × 31,357.20
  4. Step 4: Simplify right side
    101,470.80x = 4,773,437,570.16
  5. Step 5: Solve for x
    x = 4,773,437,570.16/101,470.80
  6. Step 6: Final answer
    x = 47,042.47

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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.