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Finding the Fourth Proportional to 70,705.34, 97,570.86 and 38,874

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Solution

The fourth proportional to 70,705.34, 97,570.86 and 38,874 is: 53,644.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,705.34 : 97,570.86 = 38,874 : x
  2. Step 2: Convert to fraction form
    70,705.34/97,570.86 = 38,874/x
  3. Step 3: Cross multiply
    70,705.34x = 97,570.86 × 38,874
  4. Step 4: Simplify right side
    70,705.34x = 3,792,969,611.64
  5. Step 5: Solve for x
    x = 3,792,969,611.64/70,705.34
  6. Step 6: Final answer
    x = 53,644.74

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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.