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Finding the Fourth Proportional to 70,283.70, 96,991.74 and 38,452.50

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Solution

The fourth proportional to 70,283.70, 96,991.74 and 38,452.50 is: 53,064.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,283.70 : 96,991.74 = 38,452.50 : x
  2. Step 2: Convert to fraction form
    70,283.70/96,991.74 = 38,452.50/x
  3. Step 3: Cross multiply
    70,283.70x = 96,991.74 × 38,452.50
  4. Step 4: Simplify right side
    70,283.70x = 3,729,574,882.35
  5. Step 5: Solve for x
    x = 3,729,574,882.35/70,283.70
  6. Step 6: Final answer
    x = 53,064.58

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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.