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Finding the Fourth Proportional to 83,013.65, 114,558.84 and 47,205.85

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Solution

The fourth proportional to 83,013.65, 114,558.84 and 47,205.85 is: 65,144.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,013.65 : 114,558.84 = 47,205.85 : x
  2. Step 2: Convert to fraction form
    83,013.65/114,558.84 = 47,205.85/x
  3. Step 3: Cross multiply
    83,013.65x = 114,558.84 × 47,205.85
  4. Step 4: Simplify right side
    83,013.65x = 5,407,847,130.82
  5. Step 5: Solve for x
    x = 5,407,847,130.82/83,013.65
  6. Step 6: Final answer
    x = 65,144.08

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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.