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Finding the Fourth Proportional to 97,260, 145,854.91 and 41,104.46

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Solution

The fourth proportional to 97,260, 145,854.91 and 41,104.46 is: 61,641.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,260 : 145,854.91 = 41,104.46 : x
  2. Step 2: Convert to fraction form
    97,260/145,854.91 = 41,104.46/x
  3. Step 3: Cross multiply
    97,260x = 145,854.91 × 41,104.46
  4. Step 4: Simplify right side
    97,260x = 5,995,286,481.86
  5. Step 5: Solve for x
    x = 5,995,286,481.86/97,260
  6. Step 6: Final answer
    x = 61,641.85

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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.