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Finding the Fourth Proportional to 82,123.14, 113,329.98 and 44,397.36

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Solution

The fourth proportional to 82,123.14, 113,329.98 and 44,397.36 is: 61,268.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,123.14 : 113,329.98 = 44,397.36 : x
  2. Step 2: Convert to fraction form
    82,123.14/113,329.98 = 44,397.36/x
  3. Step 3: Cross multiply
    82,123.14x = 113,329.98 × 44,397.36
  4. Step 4: Simplify right side
    82,123.14x = 5,031,551,920.85
  5. Step 5: Solve for x
    x = 5,031,551,920.85/82,123.14
  6. Step 6: Final answer
    x = 61,268.38

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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.