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Finding the Fourth Proportional to 74,773.91, 103,199.19 and 47,946.71

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Solution

The fourth proportional to 74,773.91, 103,199.19 and 47,946.71 is: 66,173.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,773.91 : 103,199.19 = 47,946.71 : x
  2. Step 2: Convert to fraction form
    74,773.91/103,199.19 = 47,946.71/x
  3. Step 3: Cross multiply
    74,773.91x = 103,199.19 × 47,946.71
  4. Step 4: Simplify right side
    74,773.91x = 4,948,061,635.16
  5. Step 5: Solve for x
    x = 4,948,061,635.16/74,773.91
  6. Step 6: Final answer
    x = 66,173.64

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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.