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Finding the Fourth Proportional to 30,690.56, 42,352.32 and 17,078.32

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Solution

The fourth proportional to 30,690.56, 42,352.32 and 17,078.32 is: 23,567.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,690.56 : 42,352.32 = 17,078.32 : x
  2. Step 2: Convert to fraction form
    30,690.56/42,352.32 = 17,078.32/x
  3. Step 3: Cross multiply
    30,690.56x = 42,352.32 × 17,078.32
  4. Step 4: Simplify right side
    30,690.56x = 723,306,473.70
  5. Step 5: Solve for x
    x = 723,306,473.70/30,690.56
  6. Step 6: Final answer
    x = 23,567.72

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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.