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Finding the Fourth Proportional to 34,520, 51,780.63 and 10,827.02

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Solution

The fourth proportional to 34,520, 51,780.63 and 10,827.02 is: 16,240.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,520 : 51,780.63 = 10,827.02 : x
  2. Step 2: Convert to fraction form
    34,520/51,780.63 = 10,827.02/x
  3. Step 3: Cross multiply
    34,520x = 51,780.63 × 10,827.02
  4. Step 4: Simplify right side
    34,520x = 560,629,657.72
  5. Step 5: Solve for x
    x = 560,629,657.72/34,520
  6. Step 6: Final answer
    x = 16,240.72

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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.