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Finding the Fourth Proportional to 34,219.90, 51,331.69 and 10,848.16

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Solution

The fourth proportional to 34,219.90, 51,331.69 and 10,848.16 is: 16,272.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,219.90 : 51,331.69 = 10,848.16 : x
  2. Step 2: Convert to fraction form
    34,219.90/51,331.69 = 10,848.16/x
  3. Step 3: Cross multiply
    34,219.90x = 51,331.69 × 10,848.16
  4. Step 4: Simplify right side
    34,219.90x = 556,854,463.92
  5. Step 5: Solve for x
    x = 556,854,463.92/34,219.90
  6. Step 6: Final answer
    x = 16,272.82

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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.