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Finding the Fourth Proportional to 70,774.25, 106,177.78 and 24,027.13

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Solution

The fourth proportional to 70,774.25, 106,177.78 and 24,027.13 is: 36,046.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,774.25 : 106,177.78 = 24,027.13 : x
  2. Step 2: Convert to fraction form
    70,774.25/106,177.78 = 24,027.13/x
  3. Step 3: Cross multiply
    70,774.25x = 106,177.78 × 24,027.13
  4. Step 4: Simplify right side
    70,774.25x = 2,551,146,792.28
  5. Step 5: Solve for x
    x = 2,551,146,792.28/70,774.25
  6. Step 6: Final answer
    x = 36,046.26

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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.