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Finding the Fourth Proportional to 30,806.33, 42,513.35 and 17,374.95

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Solution

The fourth proportional to 30,806.33, 42,513.35 and 17,374.95 is: 23,977.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,806.33 : 42,513.35 = 17,374.95 : x
  2. Step 2: Convert to fraction form
    30,806.33/42,513.35 = 17,374.95/x
  3. Step 3: Cross multiply
    30,806.33x = 42,513.35 × 17,374.95
  4. Step 4: Simplify right side
    30,806.33x = 738,667,330.58
  5. Step 5: Solve for x
    x = 738,667,330.58/30,806.33
  6. Step 6: Final answer
    x = 23,977.78

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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.