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Finding the Fourth Proportional to 98,797, 148,195.74 and 24,925

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Solution

The fourth proportional to 98,797, 148,195.74 and 24,925 is: 37,387.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,797 : 148,195.74 = 24,925 : x
  2. Step 2: Convert to fraction form
    98,797/148,195.74 = 24,925/x
  3. Step 3: Cross multiply
    98,797x = 148,195.74 × 24,925
  4. Step 4: Simplify right side
    98,797x = 3,693,778,819.50
  5. Step 5: Solve for x
    x = 3,693,778,819.50/98,797
  6. Step 6: Final answer
    x = 37,387.56

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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.