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Finding the Fourth Proportional to 34,693.11, 52,039.67 and 9,735.80

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Solution

The fourth proportional to 34,693.11, 52,039.67 and 9,735.80 is: 14,603.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,693.11 : 52,039.67 = 9,735.80 : x
  2. Step 2: Convert to fraction form
    34,693.11/52,039.67 = 9,735.80/x
  3. Step 3: Cross multiply
    34,693.11x = 52,039.67 × 9,735.80
  4. Step 4: Simplify right side
    34,693.11x = 506,647,510.31
  5. Step 5: Solve for x
    x = 506,647,510.31/34,693.11
  6. Step 6: Final answer
    x = 14,603.69

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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.