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Finding the Fourth Proportional to 97,443.60, 146,203.80 and 38,269.20

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Solution

The fourth proportional to 97,443.60, 146,203.80 and 38,269.20 is: 57,418.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,443.60 : 146,203.80 = 38,269.20 : x
  2. Step 2: Convert to fraction form
    97,443.60/146,203.80 = 38,269.20/x
  3. Step 3: Cross multiply
    97,443.60x = 146,203.80 × 38,269.20
  4. Step 4: Simplify right side
    97,443.60x = 5,595,102,462.96
  5. Step 5: Solve for x
    x = 5,595,102,462.96/97,443.60
  6. Step 6: Final answer
    x = 57,418.88

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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.