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Finding the Fourth Proportional to 31,126.08, 42,953.02 and 17,698.80

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Solution

The fourth proportional to 31,126.08, 42,953.02 and 17,698.80 is: 24,423.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,126.08 : 42,953.02 = 17,698.80 : x
  2. Step 2: Convert to fraction form
    31,126.08/42,953.02 = 17,698.80/x
  3. Step 3: Cross multiply
    31,126.08x = 42,953.02 × 17,698.80
  4. Step 4: Simplify right side
    31,126.08x = 760,216,910.38
  5. Step 5: Solve for x
    x = 760,216,910.38/31,126.08
  6. Step 6: Final answer
    x = 24,423.79

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.