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Finding the Fourth Proportional to 49,773.40, 74,660.10 and 45,971.80

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Solution

The fourth proportional to 49,773.40, 74,660.10 and 45,971.80 is: 68,957.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,773.40 : 74,660.10 = 45,971.80 : x
  2. Step 2: Convert to fraction form
    49,773.40/74,660.10 = 45,971.80/x
  3. Step 3: Cross multiply
    49,773.40x = 74,660.10 × 45,971.80
  4. Step 4: Simplify right side
    49,773.40x = 3,432,259,185.18
  5. Step 5: Solve for x
    x = 3,432,259,185.18/49,773.40
  6. Step 6: Final answer
    x = 68,957.70

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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.