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Finding the Fourth Proportional to 50,142.60, 75,116.70 and 27,916.20

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Solution

The fourth proportional to 50,142.60, 75,116.70 and 27,916.20 is: 41,820.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,142.60 : 75,116.70 = 27,916.20 : x
  2. Step 2: Convert to fraction form
    50,142.60/75,116.70 = 27,916.20/x
  3. Step 3: Cross multiply
    50,142.60x = 75,116.70 × 27,916.20
  4. Step 4: Simplify right side
    50,142.60x = 2,096,972,820.54
  5. Step 5: Solve for x
    x = 2,096,972,820.54/50,142.60
  6. Step 6: Final answer
    x = 41,820.19

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1.5x scale

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.