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Finding the Fourth Proportional to 34,510.72, 51,756.32 and 9,544.96

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Solution

The fourth proportional to 34,510.72, 51,756.32 and 9,544.96 is: 14,314.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,510.72 : 51,756.32 = 9,544.96 : x
  2. Step 2: Convert to fraction form
    34,510.72/51,756.32 = 9,544.96/x
  3. Step 3: Cross multiply
    34,510.72x = 51,756.32 × 9,544.96
  4. Step 4: Simplify right side
    34,510.72x = 494,012,004.15
  5. Step 5: Solve for x
    x = 494,012,004.15/34,510.72
  6. Step 6: Final answer
    x = 14,314.74

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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.