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Finding the Fourth Proportional to 31,177.38, 43,024.50 and 17,030.28

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Solution

The fourth proportional to 31,177.38, 43,024.50 and 17,030.28 is: 23,501.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,177.38 : 43,024.50 = 17,030.28 : x
  2. Step 2: Convert to fraction form
    31,177.38/43,024.50 = 17,030.28/x
  3. Step 3: Cross multiply
    31,177.38x = 43,024.50 × 17,030.28
  4. Step 4: Simplify right side
    31,177.38x = 732,719,281.86
  5. Step 5: Solve for x
    x = 732,719,281.86/31,177.38
  6. Step 6: Final answer
    x = 23,501.63

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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.