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Finding the Fourth Proportional to 82,495.52, 113,843.76 and 44,769.68

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Solution

The fourth proportional to 82,495.52, 113,843.76 and 44,769.68 is: 61,782.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,495.52 : 113,843.76 = 44,769.68 : x
  2. Step 2: Convert to fraction form
    82,495.52/113,843.76 = 44,769.68/x
  3. Step 3: Cross multiply
    82,495.52x = 113,843.76 × 44,769.68
  4. Step 4: Simplify right side
    82,495.52x = 5,096,748,705.20
  5. Step 5: Solve for x
    x = 5,096,748,705.20/82,495.52
  6. Step 6: Final answer
    x = 61,782.13

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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.