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Finding the Fourth Proportional to 34,307.74, 51,486.22 and 14,600.14

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Solution

The fourth proportional to 34,307.74, 51,486.22 and 14,600.14 is: 21,910.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,307.74 : 51,486.22 = 14,600.14 : x
  2. Step 2: Convert to fraction form
    34,307.74/51,486.22 = 14,600.14/x
  3. Step 3: Cross multiply
    34,307.74x = 51,486.22 × 14,600.14
  4. Step 4: Simplify right side
    34,307.74x = 751,706,020.07
  5. Step 5: Solve for x
    x = 751,706,020.07/34,307.74
  6. Step 6: Final answer
    x = 21,910.68

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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.