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Finding the Fourth Proportional to 70,446, 97,198.08 and 41,772.40

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Solution

The fourth proportional to 70,446, 97,198.08 and 41,772.40 is: 57,635.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,446 : 97,198.08 = 41,772.40 : x
  2. Step 2: Convert to fraction form
    70,446/97,198.08 = 41,772.40/x
  3. Step 3: Cross multiply
    70,446x = 97,198.08 × 41,772.40
  4. Step 4: Simplify right side
    70,446x = 4,060,197,076.99
  5. Step 5: Solve for x
    x = 4,060,197,076.99/70,446
  6. Step 6: Final answer
    x = 57,635.59

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.