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Finding the Fourth Proportional to 60,832.16, 83,919.22 and 38,159.76

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Solution

The fourth proportional to 60,832.16, 83,919.22 and 38,159.76 is: 52,642.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,832.16 : 83,919.22 = 38,159.76 : x
  2. Step 2: Convert to fraction form
    60,832.16/83,919.22 = 38,159.76/x
  3. Step 3: Cross multiply
    60,832.16x = 83,919.22 × 38,159.76
  4. Step 4: Simplify right side
    60,832.16x = 3,202,337,294.59
  5. Step 5: Solve for x
    x = 3,202,337,294.59/60,832.16
  6. Step 6: Final answer
    x = 52,642.18

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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.