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Finding the Fourth Proportional to 30,868.58, 42,596.12 and 17,441

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Solution

The fourth proportional to 30,868.58, 42,596.12 and 17,441 is: 24,067.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,868.58 : 42,596.12 = 17,441 : x
  2. Step 2: Convert to fraction form
    30,868.58/42,596.12 = 17,441/x
  3. Step 3: Cross multiply
    30,868.58x = 42,596.12 × 17,441
  4. Step 4: Simplify right side
    30,868.58x = 742,918,928.92
  5. Step 5: Solve for x
    x = 742,918,928.92/30,868.58
  6. Step 6: Final answer
    x = 24,067.16

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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.