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Finding the Fourth Proportional to 83,218.72, 114,844.08 and 49,704.16

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Solution

The fourth proportional to 83,218.72, 114,844.08 and 49,704.16 is: 68,593.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,218.72 : 114,844.08 = 49,704.16 : x
  2. Step 2: Convert to fraction form
    83,218.72/114,844.08 = 49,704.16/x
  3. Step 3: Cross multiply
    83,218.72x = 114,844.08 × 49,704.16
  4. Step 4: Simplify right side
    83,218.72x = 5,708,228,527.37
  5. Step 5: Solve for x
    x = 5,708,228,527.37/83,218.72
  6. Step 6: Final answer
    x = 68,593.08

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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.