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Finding the Fourth Proportional to 82,580.30, 114,008.10 and 54,368

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Solution

The fourth proportional to 82,580.30, 114,008.10 and 54,368 is: 75,058.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,580.30 : 114,008.10 = 54,368 : x
  2. Step 2: Convert to fraction form
    82,580.30/114,008.10 = 54,368/x
  3. Step 3: Cross multiply
    82,580.30x = 114,008.10 × 54,368
  4. Step 4: Simplify right side
    82,580.30x = 6,198,392,380.80
  5. Step 5: Solve for x
    x = 6,198,392,380.80/82,580.30
  6. Step 6: Final answer
    x = 75,058.97

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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.