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Finding the Fourth Proportional to 31,402.38, 43,332.77 and 17,970.56

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Solution

The fourth proportional to 31,402.38, 43,332.77 and 17,970.56 is: 24,797.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,402.38 : 43,332.77 = 17,970.56 : x
  2. Step 2: Convert to fraction form
    31,402.38/43,332.77 = 17,970.56/x
  3. Step 3: Cross multiply
    31,402.38x = 43,332.77 × 17,970.56
  4. Step 4: Simplify right side
    31,402.38x = 778,714,143.25
  5. Step 5: Solve for x
    x = 778,714,143.25/31,402.38
  6. Step 6: Final answer
    x = 24,797.93

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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.