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Finding the Fourth Proportional to 82,666.50, 114,079.50 and 44,940.48

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Solution

The fourth proportional to 82,666.50, 114,079.50 and 44,940.48 is: 62,017.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,666.50 : 114,079.50 = 44,940.48 : x
  2. Step 2: Convert to fraction form
    82,666.50/114,079.50 = 44,940.48/x
  3. Step 3: Cross multiply
    82,666.50x = 114,079.50 × 44,940.48
  4. Step 4: Simplify right side
    82,666.50x = 5,126,787,488.16
  5. Step 5: Solve for x
    x = 5,126,787,488.16/82,666.50
  6. Step 6: Final answer
    x = 62,017.72

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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.