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Finding the Fourth Proportional to 70,816.40, 97,727.28 and 38,986

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Solution

The fourth proportional to 70,816.40, 97,727.28 and 38,986 is: 53,801.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,816.40 : 97,727.28 = 38,986 : x
  2. Step 2: Convert to fraction form
    70,816.40/97,727.28 = 38,986/x
  3. Step 3: Cross multiply
    70,816.40x = 97,727.28 × 38,986
  4. Step 4: Simplify right side
    70,816.40x = 3,809,995,738.08
  5. Step 5: Solve for x
    x = 3,809,995,738.08/70,816.40
  6. Step 6: Final answer
    x = 53,801.04

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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.