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Finding the Fourth Proportional to 72,538.93, 108,841.88 and 33,108.13

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Solution

The fourth proportional to 72,538.93, 108,841.88 and 33,108.13 is: 49,677.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,538.93 : 108,841.88 = 33,108.13 : x
  2. Step 2: Convert to fraction form
    72,538.93/108,841.88 = 33,108.13/x
  3. Step 3: Cross multiply
    72,538.93x = 108,841.88 × 33,108.13
  4. Step 4: Simplify right side
    72,538.93x = 3,603,551,112.48
  5. Step 5: Solve for x
    x = 3,603,551,112.48/72,538.93
  6. Step 6: Final answer
    x = 49,677.48

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.