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Finding the Fourth Proportional to 38,972.16, 53,773.92 and 23,868

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Solution

The fourth proportional to 38,972.16, 53,773.92 and 23,868 is: 32,933.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,972.16 : 53,773.92 = 23,868 : x
  2. Step 2: Convert to fraction form
    38,972.16/53,773.92 = 23,868/x
  3. Step 3: Cross multiply
    38,972.16x = 53,773.92 × 23,868
  4. Step 4: Simplify right side
    38,972.16x = 1,283,475,922.56
  5. Step 5: Solve for x
    x = 1,283,475,922.56/38,972.16
  6. Step 6: Final answer
    x = 32,933.15

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1.5x scale

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.