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Finding the Fourth Proportional to 97,404.61, 146,019.20 and 35,031.25

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Solution

The fourth proportional to 97,404.61, 146,019.20 and 35,031.25 is: 52,515.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,404.61 : 146,019.20 = 35,031.25 : x
  2. Step 2: Convert to fraction form
    97,404.61/146,019.20 = 35,031.25/x
  3. Step 3: Cross multiply
    97,404.61x = 146,019.20 × 35,031.25
  4. Step 4: Simplify right side
    97,404.61x = 5,115,234,924.84
  5. Step 5: Solve for x
    x = 5,115,234,924.84/97,404.61
  6. Step 6: Final answer
    x = 52,515.33

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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.