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Finding the Fourth Proportional to 82,199.47, 113,423.11 and 49,917.30

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Solution

The fourth proportional to 82,199.47, 113,423.11 and 49,917.30 is: 68,878.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,199.47 : 113,423.11 = 49,917.30 : x
  2. Step 2: Convert to fraction form
    82,199.47/113,423.11 = 49,917.30/x
  3. Step 3: Cross multiply
    82,199.47x = 113,423.11 × 49,917.30
  4. Step 4: Simplify right side
    82,199.47x = 5,661,775,319.63
  5. Step 5: Solve for x
    x = 5,661,775,319.63/82,199.47
  6. Step 6: Final answer
    x = 68,878.49

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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.