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Finding the Fourth Proportional to 70,138.84, 96,760.76 and 41,828.13

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Solution

The fourth proportional to 70,138.84, 96,760.76 and 41,828.13 is: 57,704.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,138.84 : 96,760.76 = 41,828.13 : x
  2. Step 2: Convert to fraction form
    70,138.84/96,760.76 = 41,828.13/x
  3. Step 3: Cross multiply
    70,138.84x = 96,760.76 × 41,828.13
  4. Step 4: Simplify right side
    70,138.84x = 4,047,321,648.18
  5. Step 5: Solve for x
    x = 4,047,321,648.18/70,138.84
  6. Step 6: Final answer
    x = 57,704.43

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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.