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Finding the Fourth Proportional to 97,404.74, 146,019.38 and 35,031.38

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Solution

The fourth proportional to 97,404.74, 146,019.38 and 35,031.38 is: 52,515.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,404.74 : 146,019.38 = 35,031.38 : x
  2. Step 2: Convert to fraction form
    97,404.74/146,019.38 = 35,031.38/x
  3. Step 3: Cross multiply
    97,404.74x = 146,019.38 × 35,031.38
  4. Step 4: Simplify right side
    97,404.74x = 5,115,259,745.63
  5. Step 5: Solve for x
    x = 5,115,259,745.63/97,404.74
  6. Step 6: Final answer
    x = 52,515.51

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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.