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Finding the Fourth Proportional to 84,242.31, 116,274.33 and 48,453

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Solution

The fourth proportional to 84,242.31, 116,274.33 and 48,453 is: 66,876.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,242.31 : 116,274.33 = 48,453 : x
  2. Step 2: Convert to fraction form
    84,242.31/116,274.33 = 48,453/x
  3. Step 3: Cross multiply
    84,242.31x = 116,274.33 × 48,453
  4. Step 4: Simplify right side
    84,242.31x = 5,633,840,111.49
  5. Step 5: Solve for x
    x = 5,633,840,111.49/84,242.31
  6. Step 6: Final answer
    x = 66,876.61

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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.