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Finding the Fourth Proportional to 38,722.34, 58,084.14 and 10,642.22

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Solution

The fourth proportional to 38,722.34, 58,084.14 and 10,642.22 is: 15,963.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,722.34 : 58,084.14 = 10,642.22 : x
  2. Step 2: Convert to fraction form
    38,722.34/58,084.14 = 10,642.22/x
  3. Step 3: Cross multiply
    38,722.34x = 58,084.14 × 10,642.22
  4. Step 4: Simplify right side
    38,722.34x = 618,143,905.97
  5. Step 5: Solve for x
    x = 618,143,905.97/38,722.34
  6. Step 6: Final answer
    x = 15,963.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.