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Finding the Fourth Proportional to 65,404.30, 98,106.48 and 30,324.82

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Solution

The fourth proportional to 65,404.30, 98,106.48 and 30,324.82 is: 45,487.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,404.30 : 98,106.48 = 30,324.82 : x
  2. Step 2: Convert to fraction form
    65,404.30/98,106.48 = 30,324.82/x
  3. Step 3: Cross multiply
    65,404.30x = 98,106.48 × 30,324.82
  4. Step 4: Simplify right side
    65,404.30x = 2,975,061,346.83
  5. Step 5: Solve for x
    x = 2,975,061,346.83/65,404.30
  6. Step 6: Final answer
    x = 45,487.24

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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.