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Finding the Fourth Proportional to 98,294.63, 147,441.96 and 24,422.63

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Solution

The fourth proportional to 98,294.63, 147,441.96 and 24,422.63 is: 36,633.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,294.63 : 147,441.96 = 24,422.63 : x
  2. Step 2: Convert to fraction form
    98,294.63/147,441.96 = 24,422.63/x
  3. Step 3: Cross multiply
    98,294.63x = 147,441.96 × 24,422.63
  4. Step 4: Simplify right side
    98,294.63x = 3,600,919,698.35
  5. Step 5: Solve for x
    x = 3,600,919,698.35/98,294.63
  6. Step 6: Final answer
    x = 36,633.94

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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.