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Finding the Fourth Proportional to 82,117.18, 113,322 and 44,391.43

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Solution

The fourth proportional to 82,117.18, 113,322 and 44,391.43 is: 61,260.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,117.18 : 113,322 = 44,391.43 : x
  2. Step 2: Convert to fraction form
    82,117.18/113,322 = 44,391.43/x
  3. Step 3: Cross multiply
    82,117.18x = 113,322 × 44,391.43
  4. Step 4: Simplify right side
    82,117.18x = 5,030,525,630.46
  5. Step 5: Solve for x
    x = 5,030,525,630.46/82,117.18
  6. Step 6: Final answer
    x = 61,260.33

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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.