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Finding the Fourth Proportional to 65,198.52, 97,862.58 and 30,146.04

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Solution

The fourth proportional to 65,198.52, 97,862.58 and 30,146.04 is: 45,249.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,198.52 : 97,862.58 = 30,146.04 : x
  2. Step 2: Convert to fraction form
    65,198.52/97,862.58 = 30,146.04/x
  3. Step 3: Cross multiply
    65,198.52x = 97,862.58 × 30,146.04
  4. Step 4: Simplify right side
    65,198.52x = 2,950,169,251.18
  5. Step 5: Solve for x
    x = 2,950,169,251.18/65,198.52
  6. Step 6: Final answer
    x = 45,249.02

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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.