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Finding the Fourth Proportional to 70,705.97, 105,915.73 and 32,701.25

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Solution

The fourth proportional to 70,705.97, 105,915.73 and 32,701.25 is: 48,985.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,705.97 : 105,915.73 = 32,701.25 : x
  2. Step 2: Convert to fraction form
    70,705.97/105,915.73 = 32,701.25/x
  3. Step 3: Cross multiply
    70,705.97x = 105,915.73 × 32,701.25
  4. Step 4: Simplify right side
    70,705.97x = 3,463,576,765.66
  5. Step 5: Solve for x
    x = 3,463,576,765.66/70,705.97
  6. Step 6: Final answer
    x = 48,985.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.