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Finding the Fourth Proportional to 83,959.24, 115,859.22 and 48,150.76

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Solution

The fourth proportional to 83,959.24, 115,859.22 and 48,150.76 is: 66,445.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,959.24 : 115,859.22 = 48,150.76 : x
  2. Step 2: Convert to fraction form
    83,959.24/115,859.22 = 48,150.76/x
  3. Step 3: Cross multiply
    83,959.24x = 115,859.22 × 48,150.76
  4. Step 4: Simplify right side
    83,959.24x = 5,578,709,496.01
  5. Step 5: Solve for x
    x = 5,578,709,496.01/83,959.24
  6. Step 6: Final answer
    x = 66,445.45

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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.