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Finding the Fourth Proportional to 22,859.88, 31,731.63 and 22,306.92

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Solution

The fourth proportional to 22,859.88, 31,731.63 and 22,306.92 is: 30,964.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,859.88 : 31,731.63 = 22,306.92 : x
  2. Step 2: Convert to fraction form
    22,859.88/31,731.63 = 22,306.92/x
  3. Step 3: Cross multiply
    22,859.88x = 31,731.63 × 22,306.92
  4. Step 4: Simplify right side
    22,859.88x = 707,834,931.88
  5. Step 5: Solve for x
    x = 707,834,931.88/22,859.88
  6. Step 6: Final answer
    x = 30,964.07

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.