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Finding the Fourth Proportional to 34,542.72, 51,814.04 and 13,780.80

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Solution

The fourth proportional to 34,542.72, 51,814.04 and 13,780.80 is: 20,671.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,542.72 : 51,814.04 = 13,780.80 : x
  2. Step 2: Convert to fraction form
    34,542.72/51,814.04 = 13,780.80/x
  3. Step 3: Cross multiply
    34,542.72x = 51,814.04 × 13,780.80
  4. Step 4: Simplify right side
    34,542.72x = 714,038,853.53
  5. Step 5: Solve for x
    x = 714,038,853.53/34,542.72
  6. Step 6: Final answer
    x = 20,671.18

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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.