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Finding the Fourth Proportional to 31,963.86, 47,930.88 and 10,898.22

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Solution

The fourth proportional to 31,963.86, 47,930.88 and 10,898.22 is: 16,342.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,963.86 : 47,930.88 = 10,898.22 : x
  2. Step 2: Convert to fraction form
    31,963.86/47,930.88 = 10,898.22/x
  3. Step 3: Cross multiply
    31,963.86x = 47,930.88 × 10,898.22
  4. Step 4: Simplify right side
    31,963.86x = 522,361,275.03
  5. Step 5: Solve for x
    x = 522,361,275.03/31,963.86
  6. Step 6: Final answer
    x = 16,342.25

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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.