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Finding the Fourth Proportional to 30,099.12, 41,527.80 and 19,471.92

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Solution

The fourth proportional to 30,099.12, 41,527.80 and 19,471.92 is: 26,865.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,099.12 : 41,527.80 = 19,471.92 : x
  2. Step 2: Convert to fraction form
    30,099.12/41,527.80 = 19,471.92/x
  3. Step 3: Cross multiply
    30,099.12x = 41,527.80 × 19,471.92
  4. Step 4: Simplify right side
    30,099.12x = 808,625,999.38
  5. Step 5: Solve for x
    x = 808,625,999.38/30,099.12
  6. Step 6: Final answer
    x = 26,865.44

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.