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Finding the Fourth Proportional to 70,489.56, 97,272.72 and 42,178.44

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Solution

The fourth proportional to 70,489.56, 97,272.72 and 42,178.44 is: 58,204.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,489.56 : 97,272.72 = 42,178.44 : x
  2. Step 2: Convert to fraction form
    70,489.56/97,272.72 = 42,178.44/x
  3. Step 3: Cross multiply
    70,489.56x = 97,272.72 × 42,178.44
  4. Step 4: Simplify right side
    70,489.56x = 4,102,811,584.16
  5. Step 5: Solve for x
    x = 4,102,811,584.16/70,489.56
  6. Step 6: Final answer
    x = 58,204.53

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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.