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Finding the Fourth Proportional to 82,039.80, 122,977.92 and 34,666.84

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Solution

The fourth proportional to 82,039.80, 122,977.92 and 34,666.84 is: 51,965.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,039.80 : 122,977.92 = 34,666.84 : x
  2. Step 2: Convert to fraction form
    82,039.80/122,977.92 = 34,666.84/x
  3. Step 3: Cross multiply
    82,039.80x = 122,977.92 × 34,666.84
  4. Step 4: Simplify right side
    82,039.80x = 4,263,255,876.17
  5. Step 5: Solve for x
    x = 4,263,255,876.17/82,039.80
  6. Step 6: Final answer
    x = 51,965.70

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.