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Finding the Fourth Proportional to 90,466, 135,699 and 24,802

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Solution

The fourth proportional to 90,466, 135,699 and 24,802 is: 37,203

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,466 : 135,699 = 24,802 : x
  2. Step 2: Convert to fraction form
    90,466/135,699 = 24,802/x
  3. Step 3: Cross multiply
    90,466x = 135,699 × 24,802
  4. Step 4: Simplify right side
    90,466x = 3,365,606,598
  5. Step 5: Solve for x
    x = 3,365,606,598/90,466
  6. Step 6: Final answer
    x = 37,203

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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.