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Finding the Fourth Proportional to 70,523.56, 97,328.82 and 38,698.66

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Solution

The fourth proportional to 70,523.56, 97,328.82 and 38,698.66 is: 53,407.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,523.56 : 97,328.82 = 38,698.66 : x
  2. Step 2: Convert to fraction form
    70,523.56/97,328.82 = 38,698.66/x
  3. Step 3: Cross multiply
    70,523.56x = 97,328.82 × 38,698.66
  4. Step 4: Simplify right side
    70,523.56x = 3,766,494,913.38
  5. Step 5: Solve for x
    x = 3,766,494,913.38/70,523.56
  6. Step 6: Final answer
    x = 53,407.61

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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.