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Finding the Fourth Proportional to 34,084.98, 51,120.99 and 11,596.68

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Solution

The fourth proportional to 34,084.98, 51,120.99 and 11,596.68 is: 17,392.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,084.98 : 51,120.99 = 11,596.68 : x
  2. Step 2: Convert to fraction form
    34,084.98/51,120.99 = 11,596.68/x
  3. Step 3: Cross multiply
    34,084.98x = 51,120.99 × 11,596.68
  4. Step 4: Simplify right side
    34,084.98x = 592,833,762.31
  5. Step 5: Solve for x
    x = 592,833,762.31/34,084.98
  6. Step 6: Final answer
    x = 17,392.82

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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.