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Finding the Fourth Proportional to 30,838.31, 42,564.85 and 20,109.93

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Solution

The fourth proportional to 30,838.31, 42,564.85 and 20,109.93 is: 27,756.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,838.31 : 42,564.85 = 20,109.93 : x
  2. Step 2: Convert to fraction form
    30,838.31/42,564.85 = 20,109.93/x
  3. Step 3: Cross multiply
    30,838.31x = 42,564.85 × 20,109.93
  4. Step 4: Simplify right side
    30,838.31x = 855,976,103.69
  5. Step 5: Solve for x
    x = 855,976,103.69/30,838.31
  6. Step 6: Final answer
    x = 27,756.90

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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.