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Finding the Fourth Proportional to 31,010.38, 42,793.38 and 17,582.86

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Solution

The fourth proportional to 31,010.38, 42,793.38 and 17,582.86 is: 24,263.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,010.38 : 42,793.38 = 17,582.86 : x
  2. Step 2: Convert to fraction form
    31,010.38/42,793.38 = 17,582.86/x
  3. Step 3: Cross multiply
    31,010.38x = 42,793.38 × 17,582.86
  4. Step 4: Simplify right side
    31,010.38x = 752,430,009.47
  5. Step 5: Solve for x
    x = 752,430,009.47/31,010.38
  6. Step 6: Final answer
    x = 24,263.81

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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.