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Finding the Fourth Proportional to 82,234.80, 113,486.76 and 50,397.54

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Solution

The fourth proportional to 82,234.80, 113,486.76 and 50,397.54 is: 69,550.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,234.80 : 113,486.76 = 50,397.54 : x
  2. Step 2: Convert to fraction form
    82,234.80/113,486.76 = 50,397.54/x
  3. Step 3: Cross multiply
    82,234.80x = 113,486.76 × 50,397.54
  4. Step 4: Simplify right side
    82,234.80x = 5,719,453,526.57
  5. Step 5: Solve for x
    x = 5,719,453,526.57/82,234.80
  6. Step 6: Final answer
    x = 69,550.28

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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.