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Finding the Fourth Proportional to 70,742.92, 97,625.28 and 38,914.24

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Solution

The fourth proportional to 70,742.92, 97,625.28 and 38,914.24 is: 53,701.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,742.92 : 97,625.28 = 38,914.24 : x
  2. Step 2: Convert to fraction form
    70,742.92/97,625.28 = 38,914.24/x
  3. Step 3: Cross multiply
    70,742.92x = 97,625.28 × 38,914.24
  4. Step 4: Simplify right side
    70,742.92x = 3,799,013,575.99
  5. Step 5: Solve for x
    x = 3,799,013,575.99/70,742.92
  6. Step 6: Final answer
    x = 53,701.68

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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.