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Finding the Fourth Proportional to 31,151.54, 42,988.90 and 17,004.38

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Solution

The fourth proportional to 31,151.54, 42,988.90 and 17,004.38 is: 23,465.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,151.54 : 42,988.90 = 17,004.38 : x
  2. Step 2: Convert to fraction form
    31,151.54/42,988.90 = 17,004.38/x
  3. Step 3: Cross multiply
    31,151.54x = 42,988.90 × 17,004.38
  4. Step 4: Simplify right side
    31,151.54x = 730,999,655.45
  5. Step 5: Solve for x
    x = 730,999,655.45/31,151.54
  6. Step 6: Final answer
    x = 23,465.93

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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.