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Finding the Fourth Proportional to 97,498.77, 146,248.16 and 35,169.27

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Solution

The fourth proportional to 97,498.77, 146,248.16 and 35,169.27 is: 52,753.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,498.77 : 146,248.16 = 35,169.27 : x
  2. Step 2: Convert to fraction form
    97,498.77/146,248.16 = 35,169.27/x
  3. Step 3: Cross multiply
    97,498.77x = 146,248.16 × 35,169.27
  4. Step 4: Simplify right side
    97,498.77x = 5,143,440,850.20
  5. Step 5: Solve for x
    x = 5,143,440,850.20/97,498.77
  6. Step 6: Final answer
    x = 52,753.91

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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.