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Finding the Fourth Proportional to 31,952.40, 47,892.60 and 15,320.40

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Solution

The fourth proportional to 31,952.40, 47,892.60 and 15,320.40 is: 22,963.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,952.40 : 47,892.60 = 15,320.40 : x
  2. Step 2: Convert to fraction form
    31,952.40/47,892.60 = 15,320.40/x
  3. Step 3: Cross multiply
    31,952.40x = 47,892.60 × 15,320.40
  4. Step 4: Simplify right side
    31,952.40x = 733,733,789.04
  5. Step 5: Solve for x
    x = 733,733,789.04/31,952.40
  6. Step 6: Final answer
    x = 22,963.34

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1.5x scale

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.