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Finding the Fourth Proportional to 70,385.44, 97,127.76 and 38,548

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Solution

The fourth proportional to 70,385.44, 97,127.76 and 38,548 is: 53,193.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,385.44 : 97,127.76 = 38,548 : x
  2. Step 2: Convert to fraction form
    70,385.44/97,127.76 = 38,548/x
  3. Step 3: Cross multiply
    70,385.44x = 97,127.76 × 38,548
  4. Step 4: Simplify right side
    70,385.44x = 3,744,080,892.48
  5. Step 5: Solve for x
    x = 3,744,080,892.48/70,385.44
  6. Step 6: Final answer
    x = 53,193.97

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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.