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Finding the Fourth Proportional to 82,899.20, 114,453.16 and 58,751.38

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Solution

The fourth proportional to 82,899.20, 114,453.16 and 58,751.38 is: 81,113.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,899.20 : 114,453.16 = 58,751.38 : x
  2. Step 2: Convert to fraction form
    82,899.20/114,453.16 = 58,751.38/x
  3. Step 3: Cross multiply
    82,899.20x = 114,453.16 × 58,751.38
  4. Step 4: Simplify right side
    82,899.20x = 6,724,280,662.35
  5. Step 5: Solve for x
    x = 6,724,280,662.35/82,899.20
  6. Step 6: Final answer
    x = 81,113.94

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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.