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Finding the Fourth Proportional to 34,228.68, 47,230.56 and 19,119.48

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Solution

The fourth proportional to 34,228.68, 47,230.56 and 19,119.48 is: 26,382.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,228.68 : 47,230.56 = 19,119.48 : x
  2. Step 2: Convert to fraction form
    34,228.68/47,230.56 = 19,119.48/x
  3. Step 3: Cross multiply
    34,228.68x = 47,230.56 × 19,119.48
  4. Step 4: Simplify right side
    34,228.68x = 903,023,747.31
  5. Step 5: Solve for x
    x = 903,023,747.31/34,228.68
  6. Step 6: Final answer
    x = 26,382.08

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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.