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Finding the Fourth Proportional to 97,614.80, 146,428.60 and 27,496.40

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Solution

The fourth proportional to 97,614.80, 146,428.60 and 27,496.40 is: 41,246.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,614.80 : 146,428.60 = 27,496.40 : x
  2. Step 2: Convert to fraction form
    97,614.80/146,428.60 = 27,496.40/x
  3. Step 3: Cross multiply
    97,614.80x = 146,428.60 × 27,496.40
  4. Step 4: Simplify right side
    97,614.80x = 4,026,259,357.04
  5. Step 5: Solve for x
    x = 4,026,259,357.04/97,614.80
  6. Step 6: Final answer
    x = 41,246.40

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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.