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Finding the Fourth Proportional to 31,603.69, 43,614.12 and 17,456.77

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Solution

The fourth proportional to 31,603.69, 43,614.12 and 17,456.77 is: 24,090.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,603.69 : 43,614.12 = 17,456.77 : x
  2. Step 2: Convert to fraction form
    31,603.69/43,614.12 = 17,456.77/x
  3. Step 3: Cross multiply
    31,603.69x = 43,614.12 × 17,456.77
  4. Step 4: Simplify right side
    31,603.69x = 761,361,661.59
  5. Step 5: Solve for x
    x = 761,361,661.59/31,603.69
  6. Step 6: Final answer
    x = 24,090.91

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