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Finding the Fourth Proportional to 45,042.75, 67,565.07 and 13,878

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Solution

The fourth proportional to 45,042.75, 67,565.07 and 13,878 is: 20,817.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,042.75 : 67,565.07 = 13,878 : x
  2. Step 2: Convert to fraction form
    45,042.75/67,565.07 = 13,878/x
  3. Step 3: Cross multiply
    45,042.75x = 67,565.07 × 13,878
  4. Step 4: Simplify right side
    45,042.75x = 937,668,041.46
  5. Step 5: Solve for x
    x = 937,668,041.46/45,042.75
  6. Step 6: Final answer
    x = 20,817.29

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.