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Finding the Fourth Proportional to 34,239.48, 51,355.14 and 9,277.98

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Solution

The fourth proportional to 34,239.48, 51,355.14 and 9,277.98 is: 13,915.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,239.48 : 51,355.14 = 9,277.98 : x
  2. Step 2: Convert to fraction form
    34,239.48/51,355.14 = 9,277.98/x
  3. Step 3: Cross multiply
    34,239.48x = 51,355.14 × 9,277.98
  4. Step 4: Simplify right side
    34,239.48x = 476,471,961.82
  5. Step 5: Solve for x
    x = 476,471,961.82/34,239.48
  6. Step 6: Final answer
    x = 13,915.86

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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.