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Finding the Fourth Proportional to 34,005.77, 51,012.53 and 9,046.83

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Solution

The fourth proportional to 34,005.77, 51,012.53 and 9,046.83 is: 13,571.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,005.77 : 51,012.53 = 9,046.83 : x
  2. Step 2: Convert to fraction form
    34,005.77/51,012.53 = 9,046.83/x
  3. Step 3: Cross multiply
    34,005.77x = 51,012.53 × 9,046.83
  4. Step 4: Simplify right side
    34,005.77x = 461,501,836.93
  5. Step 5: Solve for x
    x = 461,501,836.93/34,005.77
  6. Step 6: Final answer
    x = 13,571.28

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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.