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Finding the Fourth Proportional to 70,109.64, 96,750.82 and 38,278.44

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Solution

The fourth proportional to 70,109.64, 96,750.82 and 38,278.44 is: 52,823.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,109.64 : 96,750.82 = 38,278.44 : x
  2. Step 2: Convert to fraction form
    70,109.64/96,750.82 = 38,278.44/x
  3. Step 3: Cross multiply
    70,109.64x = 96,750.82 × 38,278.44
  4. Step 4: Simplify right side
    70,109.64x = 3,703,470,458.32
  5. Step 5: Solve for x
    x = 3,703,470,458.32/70,109.64
  6. Step 6: Final answer
    x = 52,823.98

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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.