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Finding the Fourth Proportional to 97,465.50, 146,201.22 and 27,344.88

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Solution

The fourth proportional to 97,465.50, 146,201.22 and 27,344.88 is: 41,018.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,465.50 : 146,201.22 = 27,344.88 : x
  2. Step 2: Convert to fraction form
    97,465.50/146,201.22 = 27,344.88/x
  3. Step 3: Cross multiply
    97,465.50x = 146,201.22 × 27,344.88
  4. Step 4: Simplify right side
    97,465.50x = 3,997,854,816.75
  5. Step 5: Solve for x
    x = 3,997,854,816.75/97,465.50
  6. Step 6: Final answer
    x = 41,018.15

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1.5x scale

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.