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Finding the Fourth Proportional to 30,497.90, 42,101.39 and 22,947.06

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Solution

The fourth proportional to 30,497.90, 42,101.39 and 22,947.06 is: 31,677.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,497.90 : 42,101.39 = 22,947.06 : x
  2. Step 2: Convert to fraction form
    30,497.90/42,101.39 = 22,947.06/x
  3. Step 3: Cross multiply
    30,497.90x = 42,101.39 × 22,947.06
  4. Step 4: Simplify right side
    30,497.90x = 966,103,007.68
  5. Step 5: Solve for x
    x = 966,103,007.68/30,497.90
  6. Step 6: Final answer
    x = 31,677.69

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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.