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Finding the Fourth Proportional to 70,378.44, 97,118.10 and 38,541

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Solution

The fourth proportional to 70,378.44, 97,118.10 and 38,541 is: 53,184.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,378.44 : 97,118.10 = 38,541 : x
  2. Step 2: Convert to fraction form
    70,378.44/97,118.10 = 38,541/x
  3. Step 3: Cross multiply
    70,378.44x = 97,118.10 × 38,541
  4. Step 4: Simplify right side
    70,378.44x = 3,743,028,692.10
  5. Step 5: Solve for x
    x = 3,743,028,692.10/70,378.44
  6. Step 6: Final answer
    x = 53,184.31

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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.