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Finding the Fourth Proportional to 70,848, 97,770.24 and 39,016.83

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Solution

The fourth proportional to 70,848, 97,770.24 and 39,016.83 is: 53,843.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,848 : 97,770.24 = 39,016.83 : x
  2. Step 2: Convert to fraction form
    70,848/97,770.24 = 39,016.83/x
  3. Step 3: Cross multiply
    70,848x = 97,770.24 × 39,016.83
  4. Step 4: Simplify right side
    70,848x = 3,814,684,833.14
  5. Step 5: Solve for x
    x = 3,814,684,833.14/70,848
  6. Step 6: Final answer
    x = 53,843.23

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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.