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Finding the Fourth Proportional to 83,410.32, 115,114.49 and 47,605.74

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Solution

The fourth proportional to 83,410.32, 115,114.49 and 47,605.74 is: 65,700.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,410.32 : 115,114.49 = 47,605.74 : x
  2. Step 2: Convert to fraction form
    83,410.32/115,114.49 = 47,605.74/x
  3. Step 3: Cross multiply
    83,410.32x = 115,114.49 × 47,605.74
  4. Step 4: Simplify right side
    83,410.32x = 5,480,110,481.17
  5. Step 5: Solve for x
    x = 5,480,110,481.17/83,410.32
  6. Step 6: Final answer
    x = 65,700.63

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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.