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Finding the Fourth Proportional to 33,022.96, 49,547.40 and 14,542

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Solution

The fourth proportional to 33,022.96, 49,547.40 and 14,542 is: 21,818.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,022.96 : 49,547.40 = 14,542 : x
  2. Step 2: Convert to fraction form
    33,022.96/49,547.40 = 14,542/x
  3. Step 3: Cross multiply
    33,022.96x = 49,547.40 × 14,542
  4. Step 4: Simplify right side
    33,022.96x = 720,518,290.80
  5. Step 5: Solve for x
    x = 720,518,290.80/33,022.96
  6. Step 6: Final answer
    x = 21,818.71

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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.