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Finding the Fourth Proportional to 97,614.60, 146,408.88 and 27,499.38

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Solution

The fourth proportional to 97,614.60, 146,408.88 and 27,499.38 is: 41,245.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,614.60 : 146,408.88 = 27,499.38 : x
  2. Step 2: Convert to fraction form
    97,614.60/146,408.88 = 27,499.38/x
  3. Step 3: Cross multiply
    97,614.60x = 146,408.88 × 27,499.38
  4. Step 4: Simplify right side
    97,614.60x = 4,026,153,426.49
  5. Step 5: Solve for x
    x = 4,026,153,426.49/97,614.60
  6. Step 6: Final answer
    x = 41,245.40

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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.