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Finding the Fourth Proportional to 31,941,805.80, 47,912,708.70 and 13,754,713.80

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Solution

The fourth proportional to 31,941,805.80, 47,912,708.70 and 13,754,713.80 is: 20,632,070.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,941,805.80 : 47,912,708.70 = 13,754,713.80 : x
  2. Step 2: Convert to fraction form
    31,941,805.80/47,912,708.70 = 13,754,713.80/x
  3. Step 3: Cross multiply
    31,941,805.80x = 47,912,708.70 × 13,754,713.80
  4. Step 4: Simplify right side
    31,941,805.80x = 659,025,595,551,270.12
  5. Step 5: Solve for x
    x = 659,025,595,551,270.12/31,941,805.80
  6. Step 6: Final answer
    x = 20,632,070.70

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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.