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Finding the Fourth Proportional to 30,148.44, 41,604.30 and 16,719

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Solution

The fourth proportional to 30,148.44, 41,604.30 and 16,719 is: 23,071.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,148.44 : 41,604.30 = 16,719 : x
  2. Step 2: Convert to fraction form
    30,148.44/41,604.30 = 16,719/x
  3. Step 3: Cross multiply
    30,148.44x = 41,604.30 × 16,719
  4. Step 4: Simplify right side
    30,148.44x = 695,582,291.70
  5. Step 5: Solve for x
    x = 695,582,291.70/30,148.44
  6. Step 6: Final answer
    x = 23,071.92

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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.