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Finding the Fourth Proportional to 30,147.16, 45,221.82 and 12,592.84

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Solution

The fourth proportional to 30,147.16, 45,221.82 and 12,592.84 is: 18,889.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,147.16 : 45,221.82 = 12,592.84 : x
  2. Step 2: Convert to fraction form
    30,147.16/45,221.82 = 12,592.84/x
  3. Step 3: Cross multiply
    30,147.16x = 45,221.82 × 12,592.84
  4. Step 4: Simplify right side
    30,147.16x = 569,471,143.77
  5. Step 5: Solve for x
    x = 569,471,143.77/30,147.16
  6. Step 6: Final answer
    x = 18,889.71

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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.