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Finding the Fourth Proportional to 70,109.84, 96,751.15 and 38,278.74

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Solution

The fourth proportional to 70,109.84, 96,751.15 and 38,278.74 is: 52,824.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,109.84 : 96,751.15 = 38,278.74 : x
  2. Step 2: Convert to fraction form
    70,109.84/96,751.15 = 38,278.74/x
  3. Step 3: Cross multiply
    70,109.84x = 96,751.15 × 38,278.74
  4. Step 4: Simplify right side
    70,109.84x = 3,703,512,115.55
  5. Step 5: Solve for x
    x = 3,703,512,115.55/70,109.84
  6. Step 6: Final answer
    x = 52,824.43

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.