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Finding the Fourth Proportional to 70,974.84, 97,952.20 and 53,038.70

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Solution

The fourth proportional to 70,974.84, 97,952.20 and 53,038.70 is: 73,198.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,974.84 : 97,952.20 = 53,038.70 : x
  2. Step 2: Convert to fraction form
    70,974.84/97,952.20 = 53,038.70/x
  3. Step 3: Cross multiply
    70,974.84x = 97,952.20 × 53,038.70
  4. Step 4: Simplify right side
    70,974.84x = 5,195,257,350.14
  5. Step 5: Solve for x
    x = 5,195,257,350.14/70,974.84
  6. Step 6: Final answer
    x = 73,198.58

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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.