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Finding the Fourth Proportional to 70,301.32, 97,016.12 and 38,035.84

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Solution

The fourth proportional to 70,301.32, 97,016.12 and 38,035.84 is: 52,489.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,301.32 : 97,016.12 = 38,035.84 : x
  2. Step 2: Convert to fraction form
    70,301.32/97,016.12 = 38,035.84/x
  3. Step 3: Cross multiply
    70,301.32x = 97,016.12 × 38,035.84
  4. Step 4: Simplify right side
    70,301.32x = 3,690,089,617.74
  5. Step 5: Solve for x
    x = 3,690,089,617.74/70,301.32
  6. Step 6: Final answer
    x = 52,489.62

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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.