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Finding the Fourth Proportional to 30,301.31, 45,414 and 16,226.46

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Solution

The fourth proportional to 30,301.31, 45,414 and 16,226.46 is: 24,319.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,301.31 : 45,414 = 16,226.46 : x
  2. Step 2: Convert to fraction form
    30,301.31/45,414 = 16,226.46/x
  3. Step 3: Cross multiply
    30,301.31x = 45,414 × 16,226.46
  4. Step 4: Simplify right side
    30,301.31x = 736,908,454.44
  5. Step 5: Solve for x
    x = 736,908,454.44/30,301.31
  6. Step 6: Final answer
    x = 24,319.36

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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.