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Finding the Fourth Proportional to 74,862.82, 112,279.04 and 27,461.78

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Solution

The fourth proportional to 74,862.82, 112,279.04 and 27,461.78 is: 41,187.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,862.82 : 112,279.04 = 27,461.78 : x
  2. Step 2: Convert to fraction form
    74,862.82/112,279.04 = 27,461.78/x
  3. Step 3: Cross multiply
    74,862.82x = 112,279.04 × 27,461.78
  4. Step 4: Simplify right side
    74,862.82x = 3,083,381,733.70
  5. Step 5: Solve for x
    x = 3,083,381,733.70/74,862.82
  6. Step 6: Final answer
    x = 41,187.09

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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.