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Finding the Fourth Proportional to 34,510.41, 51,766.77 and 9,548.37

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Solution

The fourth proportional to 34,510.41, 51,766.77 and 9,548.37 is: 14,322.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,510.41 : 51,766.77 = 9,548.37 : x
  2. Step 2: Convert to fraction form
    34,510.41/51,766.77 = 9,548.37/x
  3. Step 3: Cross multiply
    34,510.41x = 51,766.77 × 9,548.37
  4. Step 4: Simplify right side
    34,510.41x = 494,288,225.92
  5. Step 5: Solve for x
    x = 494,288,225.92/34,510.41
  6. Step 6: Final answer
    x = 14,322.87

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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.