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Finding the Fourth Proportional to 82,870.13, 114,361.53 and 45,144.38

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Solution

The fourth proportional to 82,870.13, 114,361.53 and 45,144.38 is: 62,299.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,870.13 : 114,361.53 = 45,144.38 : x
  2. Step 2: Convert to fraction form
    82,870.13/114,361.53 = 45,144.38/x
  3. Step 3: Cross multiply
    82,870.13x = 114,361.53 × 45,144.38
  4. Step 4: Simplify right side
    82,870.13x = 5,162,780,367.70
  5. Step 5: Solve for x
    x = 5,162,780,367.70/82,870.13
  6. Step 6: Final answer
    x = 62,299.65

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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.