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Finding the Fourth Proportional to 30,689.90, 42,352.80 and 17,078.12

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Solution

The fourth proportional to 30,689.90, 42,352.80 and 17,078.12 is: 23,568.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,689.90 : 42,352.80 = 17,078.12 : x
  2. Step 2: Convert to fraction form
    30,689.90/42,352.80 = 17,078.12/x
  3. Step 3: Cross multiply
    30,689.90x = 42,352.80 × 17,078.12
  4. Step 4: Simplify right side
    30,689.90x = 723,306,200.74
  5. Step 5: Solve for x
    x = 723,306,200.74/30,689.90
  6. Step 6: Final answer
    x = 23,568.22

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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.