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Finding the Fourth Proportional to 34,180.86, 51,270.96 and 10,807.30

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Solution

The fourth proportional to 34,180.86, 51,270.96 and 10,807.30 is: 16,210.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,180.86 : 51,270.96 = 10,807.30 : x
  2. Step 2: Convert to fraction form
    34,180.86/51,270.96 = 10,807.30/x
  3. Step 3: Cross multiply
    34,180.86x = 51,270.96 × 10,807.30
  4. Step 4: Simplify right side
    34,180.86x = 554,100,646.01
  5. Step 5: Solve for x
    x = 554,100,646.01/34,180.86
  6. Step 6: Final answer
    x = 16,210.85

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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.