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Finding the Fourth Proportional to 36,478.80, 54,718.20 and 13,102.20

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Solution

The fourth proportional to 36,478.80, 54,718.20 and 13,102.20 is: 19,653.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,478.80 : 54,718.20 = 13,102.20 : x
  2. Step 2: Convert to fraction form
    36,478.80/54,718.20 = 13,102.20/x
  3. Step 3: Cross multiply
    36,478.80x = 54,718.20 × 13,102.20
  4. Step 4: Simplify right side
    36,478.80x = 716,928,800.04
  5. Step 5: Solve for x
    x = 716,928,800.04/36,478.80
  6. Step 6: Final answer
    x = 19,653.30

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