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Finding the Fourth Proportional to 36,414, 54,642.23 and 15,352.74

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Solution

The fourth proportional to 36,414, 54,642.23 and 15,352.74 is: 23,038.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,414 : 54,642.23 = 15,352.74 : x
  2. Step 2: Convert to fraction form
    36,414/54,642.23 = 15,352.74/x
  3. Step 3: Cross multiply
    36,414x = 54,642.23 × 15,352.74
  4. Step 4: Simplify right side
    36,414x = 838,907,873.45
  5. Step 5: Solve for x
    x = 838,907,873.45/36,414
  6. Step 6: Final answer
    x = 23,038.06

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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.