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Finding the Fourth Proportional to 97,679.34, 146,404.19 and 41,484.38

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Solution

The fourth proportional to 97,679.34, 146,404.19 and 41,484.38 is: 62,177.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,679.34 : 146,404.19 = 41,484.38 : x
  2. Step 2: Convert to fraction form
    97,679.34/146,404.19 = 41,484.38/x
  3. Step 3: Cross multiply
    97,679.34x = 146,404.19 × 41,484.38
  4. Step 4: Simplify right side
    97,679.34x = 6,073,486,423.24
  5. Step 5: Solve for x
    x = 6,073,486,423.24/97,679.34
  6. Step 6: Final answer
    x = 62,177.80

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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.