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Finding the Fourth Proportional to 98,902.63, 148,351.90 and 24,023.17

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Solution

The fourth proportional to 98,902.63, 148,351.90 and 24,023.17 is: 36,034.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,902.63 : 148,351.90 = 24,023.17 : x
  2. Step 2: Convert to fraction form
    98,902.63/148,351.90 = 24,023.17/x
  3. Step 3: Cross multiply
    98,902.63x = 148,351.90 × 24,023.17
  4. Step 4: Simplify right side
    98,902.63x = 3,563,882,858.44
  5. Step 5: Solve for x
    x = 3,563,882,858.44/98,902.63
  6. Step 6: Final answer
    x = 36,034.26

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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.