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Finding the Fourth Proportional to 34,544.59, 51,816.97 and 9,585.98

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Solution

The fourth proportional to 34,544.59, 51,816.97 and 9,585.98 is: 14,378.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,544.59 : 51,816.97 = 9,585.98 : x
  2. Step 2: Convert to fraction form
    34,544.59/51,816.97 = 9,585.98/x
  3. Step 3: Cross multiply
    34,544.59x = 51,816.97 × 9,585.98
  4. Step 4: Simplify right side
    34,544.59x = 496,716,284.57
  5. Step 5: Solve for x
    x = 496,716,284.57/34,544.59
  6. Step 6: Final answer
    x = 14,378.99

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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.