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Finding the Fourth Proportional to 83,494.50, 115,222.68 and 45,254.67

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Solution

The fourth proportional to 83,494.50, 115,222.68 and 45,254.67 is: 62,451.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,494.50 : 115,222.68 = 45,254.67 : x
  2. Step 2: Convert to fraction form
    83,494.50/115,222.68 = 45,254.67/x
  3. Step 3: Cross multiply
    83,494.50x = 115,222.68 × 45,254.67
  4. Step 4: Simplify right side
    83,494.50x = 5,214,364,359.92
  5. Step 5: Solve for x
    x = 5,214,364,359.92/83,494.50
  6. Step 6: Final answer
    x = 62,451.59

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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.