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Finding the Fourth Proportional to 30,706.68, 42,374.72 and 17,277.92

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Solution

The fourth proportional to 30,706.68, 42,374.72 and 17,277.92 is: 23,843.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,706.68 : 42,374.72 = 17,277.92 : x
  2. Step 2: Convert to fraction form
    30,706.68/42,374.72 = 17,277.92/x
  3. Step 3: Cross multiply
    30,706.68x = 42,374.72 × 17,277.92
  4. Step 4: Simplify right side
    30,706.68x = 732,147,171.31
  5. Step 5: Solve for x
    x = 732,147,171.31/30,706.68
  6. Step 6: Final answer
    x = 23,843.26

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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.