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Finding the Fourth Proportional to 97,463.40, 146,195.10 and 23,591.40

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Solution

The fourth proportional to 97,463.40, 146,195.10 and 23,591.40 is: 35,387.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,463.40 : 146,195.10 = 23,591.40 : x
  2. Step 2: Convert to fraction form
    97,463.40/146,195.10 = 23,591.40/x
  3. Step 3: Cross multiply
    97,463.40x = 146,195.10 × 23,591.40
  4. Step 4: Simplify right side
    97,463.40x = 3,448,947,082.14
  5. Step 5: Solve for x
    x = 3,448,947,082.14/97,463.40
  6. Step 6: Final answer
    x = 35,387.10

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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.