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Finding the Fourth Proportional to 82,883.12, 114,375.66 and 45,156.56

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Solution

The fourth proportional to 82,883.12, 114,375.66 and 45,156.56 is: 62,314.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,883.12 : 114,375.66 = 45,156.56 : x
  2. Step 2: Convert to fraction form
    82,883.12/114,375.66 = 45,156.56/x
  3. Step 3: Cross multiply
    82,883.12x = 114,375.66 × 45,156.56
  4. Step 4: Simplify right side
    82,883.12x = 5,164,811,353.33
  5. Step 5: Solve for x
    x = 5,164,811,353.33/82,883.12
  6. Step 6: Final answer
    x = 62,314.39

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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.