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Finding the Fourth Proportional to 83,698.81, 115,529.94 and 49,712.83

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Solution

The fourth proportional to 83,698.81, 115,529.94 and 49,712.83 is: 68,618.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,698.81 : 115,529.94 = 49,712.83 : x
  2. Step 2: Convert to fraction form
    83,698.81/115,529.94 = 49,712.83/x
  3. Step 3: Cross multiply
    83,698.81x = 115,529.94 × 49,712.83
  4. Step 4: Simplify right side
    83,698.81x = 5,743,320,267.13
  5. Step 5: Solve for x
    x = 5,743,320,267.13/83,698.81
  6. Step 6: Final answer
    x = 68,618.90

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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.