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Finding the Fourth Proportional to 70,982.16, 97,947.60 and 39,149.04

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Solution

The fourth proportional to 70,982.16, 97,947.60 and 39,149.04 is: 54,021.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,982.16 : 97,947.60 = 39,149.04 : x
  2. Step 2: Convert to fraction form
    70,982.16/97,947.60 = 39,149.04/x
  3. Step 3: Cross multiply
    70,982.16x = 97,947.60 × 39,149.04
  4. Step 4: Simplify right side
    70,982.16x = 3,834,554,510.30
  5. Step 5: Solve for x
    x = 3,834,554,510.30/70,982.16
  6. Step 6: Final answer
    x = 54,021.38

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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.