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Finding the Fourth Proportional to 83,188.32, 114,800.72 and 45,462.57

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Solution

The fourth proportional to 83,188.32, 114,800.72 and 45,462.57 is: 62,738.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,188.32 : 114,800.72 = 45,462.57 : x
  2. Step 2: Convert to fraction form
    83,188.32/114,800.72 = 45,462.57/x
  3. Step 3: Cross multiply
    83,188.32x = 114,800.72 × 45,462.57
  4. Step 4: Simplify right side
    83,188.32x = 5,219,135,769.05
  5. Step 5: Solve for x
    x = 5,219,135,769.05/83,188.32
  6. Step 6: Final answer
    x = 62,738.80

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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.