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Finding the Fourth Proportional to 61,827.84, 85,229.40 and 48,375.74

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Solution

The fourth proportional to 61,827.84, 85,229.40 and 48,375.74 is: 66,685.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,827.84 : 85,229.40 = 48,375.74 : x
  2. Step 2: Convert to fraction form
    61,827.84/85,229.40 = 48,375.74/x
  3. Step 3: Cross multiply
    61,827.84x = 85,229.40 × 48,375.74
  4. Step 4: Simplify right side
    61,827.84x = 4,123,035,294.76
  5. Step 5: Solve for x
    x = 4,123,035,294.76/61,827.84
  6. Step 6: Final answer
    x = 66,685.74

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Why These Related Problems?

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