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Finding the Fourth Proportional to 30,706.13, 42,374.39 and 17,277.41

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Solution

The fourth proportional to 30,706.13, 42,374.39 and 17,277.41 is: 23,842.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,706.13 : 42,374.39 = 17,277.41 : x
  2. Step 2: Convert to fraction form
    30,706.13/42,374.39 = 17,277.41/x
  3. Step 3: Cross multiply
    30,706.13x = 42,374.39 × 17,277.41
  4. Step 4: Simplify right side
    30,706.13x = 732,119,729.08
  5. Step 5: Solve for x
    x = 732,119,729.08/30,706.13
  6. Step 6: Final answer
    x = 23,842.79

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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.