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Finding the Fourth Proportional to 36,538.40, 54,710.40 and 23,319.20

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Solution

The fourth proportional to 36,538.40, 54,710.40 and 23,319.20 is: 34,916.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,538.40 : 54,710.40 = 23,319.20 : x
  2. Step 2: Convert to fraction form
    36,538.40/54,710.40 = 23,319.20/x
  3. Step 3: Cross multiply
    36,538.40x = 54,710.40 × 23,319.20
  4. Step 4: Simplify right side
    36,538.40x = 1,275,802,759.68
  5. Step 5: Solve for x
    x = 1,275,802,759.68/36,538.40
  6. Step 6: Final answer
    x = 34,916.77

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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.