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Finding the Fourth Proportional to 70,311.84, 97,029.76 and 38,480.66

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Solution

The fourth proportional to 70,311.84, 97,029.76 and 38,480.66 is: 53,102.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,311.84 : 97,029.76 = 38,480.66 : x
  2. Step 2: Convert to fraction form
    70,311.84/97,029.76 = 38,480.66/x
  3. Step 3: Cross multiply
    70,311.84x = 97,029.76 × 38,480.66
  4. Step 4: Simplify right side
    70,311.84x = 3,733,769,204.44
  5. Step 5: Solve for x
    x = 3,733,769,204.44/70,311.84
  6. Step 6: Final answer
    x = 53,102.99

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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.