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Finding the Fourth Proportional to 61,427.63, 92,098.69 and 27,214.82

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Solution

The fourth proportional to 61,427.63, 92,098.69 and 27,214.82 is: 40,803.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,427.63 : 92,098.69 = 27,214.82 : x
  2. Step 2: Convert to fraction form
    61,427.63/92,098.69 = 27,214.82/x
  3. Step 3: Cross multiply
    61,427.63x = 92,098.69 × 27,214.82
  4. Step 4: Simplify right side
    61,427.63x = 2,506,449,432.80
  5. Step 5: Solve for x
    x = 2,506,449,432.80/61,427.63
  6. Step 6: Final answer
    x = 40,803.29

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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.