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Finding the Fourth Proportional to 34,192.78, 51,287.31 and 9,232.48

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Solution

The fourth proportional to 34,192.78, 51,287.31 and 9,232.48 is: 13,848.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,192.78 : 51,287.31 = 9,232.48 : x
  2. Step 2: Convert to fraction form
    34,192.78/51,287.31 = 9,232.48/x
  3. Step 3: Cross multiply
    34,192.78x = 51,287.31 × 9,232.48
  4. Step 4: Simplify right side
    34,192.78x = 473,509,063.83
  5. Step 5: Solve for x
    x = 473,509,063.83/34,192.78
  6. Step 6: Final answer
    x = 13,848.22

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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.