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Finding the Fourth Proportional to 74,691.82, 112,038.09 and 22,101.76

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Solution

The fourth proportional to 74,691.82, 112,038.09 and 22,101.76 is: 33,152.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,691.82 : 112,038.09 = 22,101.76 : x
  2. Step 2: Convert to fraction form
    74,691.82/112,038.09 = 22,101.76/x
  3. Step 3: Cross multiply
    74,691.82x = 112,038.09 × 22,101.76
  4. Step 4: Simplify right side
    74,691.82x = 2,476,238,976.04
  5. Step 5: Solve for x
    x = 2,476,238,976.04/74,691.82
  6. Step 6: Final answer
    x = 33,152.75

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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.