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Finding the Fourth Proportional to 97,251.88, 145,877.82 and 30,697.20

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Solution

The fourth proportional to 97,251.88, 145,877.82 and 30,697.20 is: 46,045.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,251.88 : 145,877.82 = 30,697.20 : x
  2. Step 2: Convert to fraction form
    97,251.88/145,877.82 = 30,697.20/x
  3. Step 3: Cross multiply
    97,251.88x = 145,877.82 × 30,697.20
  4. Step 4: Simplify right side
    97,251.88x = 4,478,040,616.10
  5. Step 5: Solve for x
    x = 4,478,040,616.10/97,251.88
  6. Step 6: Final answer
    x = 46,045.80

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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.