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Finding the Fourth Proportional to 82,047.66, 113,225.87 and 44,321.91

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Solution

The fourth proportional to 82,047.66, 113,225.87 and 44,321.91 is: 61,164.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,047.66 : 113,225.87 = 44,321.91 : x
  2. Step 2: Convert to fraction form
    82,047.66/113,225.87 = 44,321.91/x
  3. Step 3: Cross multiply
    82,047.66x = 113,225.87 × 44,321.91
  4. Step 4: Simplify right side
    82,047.66x = 5,018,386,819.81
  5. Step 5: Solve for x
    x = 5,018,386,819.81/82,047.66
  6. Step 6: Final answer
    x = 61,164.29

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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.