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Finding the Fourth Proportional to 97,221.80, 145,832.70 and 34,884.20

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Solution

The fourth proportional to 97,221.80, 145,832.70 and 34,884.20 is: 52,326.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,221.80 : 145,832.70 = 34,884.20 : x
  2. Step 2: Convert to fraction form
    97,221.80/145,832.70 = 34,884.20/x
  3. Step 3: Cross multiply
    97,221.80x = 145,832.70 × 34,884.20
  4. Step 4: Simplify right side
    97,221.80x = 5,087,257,073.34
  5. Step 5: Solve for x
    x = 5,087,257,073.34/97,221.80
  6. Step 6: Final answer
    x = 52,326.30

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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.