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Finding the Fourth Proportional to 82,489.55, 113,835.65 and 44,763.80

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Solution

The fourth proportional to 82,489.55, 113,835.65 and 44,763.80 is: 61,774.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,489.55 : 113,835.65 = 44,763.80 : x
  2. Step 2: Convert to fraction form
    82,489.55/113,835.65 = 44,763.80/x
  3. Step 3: Cross multiply
    82,489.55x = 113,835.65 × 44,763.80
  4. Step 4: Simplify right side
    82,489.55x = 5,095,715,476.47
  5. Step 5: Solve for x
    x = 5,095,715,476.47/82,489.55
  6. Step 6: Final answer
    x = 61,774.08

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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.