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Finding the Fourth Proportional to 34,034.20, 51,056.10 and 10,658.20

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Solution

The fourth proportional to 34,034.20, 51,056.10 and 10,658.20 is: 15,988.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,034.20 : 51,056.10 = 10,658.20 : x
  2. Step 2: Convert to fraction form
    34,034.20/51,056.10 = 10,658.20/x
  3. Step 3: Cross multiply
    34,034.20x = 51,056.10 × 10,658.20
  4. Step 4: Simplify right side
    34,034.20x = 544,166,125.02
  5. Step 5: Solve for x
    x = 544,166,125.02/34,034.20
  6. Step 6: Final answer
    x = 15,988.80

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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.