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Finding the Fourth Proportional to 31,651.92, 47,472.48 and 10,590.48

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Solution

The fourth proportional to 31,651.92, 47,472.48 and 10,590.48 is: 15,883.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,651.92 : 47,472.48 = 10,590.48 : x
  2. Step 2: Convert to fraction form
    31,651.92/47,472.48 = 10,590.48/x
  3. Step 3: Cross multiply
    31,651.92x = 47,472.48 × 10,590.48
  4. Step 4: Simplify right side
    31,651.92x = 502,756,349.99
  5. Step 5: Solve for x
    x = 502,756,349.99/31,651.92
  6. Step 6: Final answer
    x = 15,883.91

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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.