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Finding the Fourth Proportional to 34,085.98, 51,122.49 and 11,597.68

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Solution

The fourth proportional to 34,085.98, 51,122.49 and 11,597.68 is: 17,394.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,085.98 : 51,122.49 = 11,597.68 : x
  2. Step 2: Convert to fraction form
    34,085.98/51,122.49 = 11,597.68/x
  3. Step 3: Cross multiply
    34,085.98x = 51,122.49 × 11,597.68
  4. Step 4: Simplify right side
    34,085.98x = 592,902,279.82
  5. Step 5: Solve for x
    x = 592,902,279.82/34,085.98
  6. Step 6: Final answer
    x = 17,394.32

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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.