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Finding the Fourth Proportional to 97,402.64, 145,993.33 and 41,207.68

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Solution

The fourth proportional to 97,402.64, 145,993.33 and 41,207.68 is: 61,764.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,402.64 : 145,993.33 = 41,207.68 : x
  2. Step 2: Convert to fraction form
    97,402.64/145,993.33 = 41,207.68/x
  3. Step 3: Cross multiply
    97,402.64x = 145,993.33 × 41,207.68
  4. Step 4: Simplify right side
    97,402.64x = 6,016,045,956.77
  5. Step 5: Solve for x
    x = 6,016,045,956.77/97,402.64
  6. Step 6: Final answer
    x = 61,764.71

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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.