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Finding the Fourth Proportional to 97,899.24, 146,849 and 24,027.24

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Solution

The fourth proportional to 97,899.24, 146,849 and 24,027.24 is: 36,040.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,899.24 : 146,849 = 24,027.24 : x
  2. Step 2: Convert to fraction form
    97,899.24/146,849 = 24,027.24/x
  3. Step 3: Cross multiply
    97,899.24x = 146,849 × 24,027.24
  4. Step 4: Simplify right side
    97,899.24x = 3,528,376,166.76
  5. Step 5: Solve for x
    x = 3,528,376,166.76/97,899.24
  6. Step 6: Final answer
    x = 36,040.89

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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.