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Finding the Fourth Proportional to 34,055.78, 51,088.14 and 11,252.06

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Solution

The fourth proportional to 34,055.78, 51,088.14 and 11,252.06 is: 16,879.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,055.78 : 51,088.14 = 11,252.06 : x
  2. Step 2: Convert to fraction form
    34,055.78/51,088.14 = 11,252.06/x
  3. Step 3: Cross multiply
    34,055.78x = 51,088.14 × 11,252.06
  4. Step 4: Simplify right side
    34,055.78x = 574,846,816.57
  5. Step 5: Solve for x
    x = 574,846,816.57/34,055.78
  6. Step 6: Final answer
    x = 16,879.57

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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.