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Finding the Fourth Proportional to 31,024.96, 46,510.56 and 12,544.96

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Solution

The fourth proportional to 31,024.96, 46,510.56 and 12,544.96 is: 18,806.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,024.96 : 46,510.56 = 12,544.96 : x
  2. Step 2: Convert to fraction form
    31,024.96/46,510.56 = 12,544.96/x
  3. Step 3: Cross multiply
    31,024.96x = 46,510.56 × 12,544.96
  4. Step 4: Simplify right side
    31,024.96x = 583,473,114.78
  5. Step 5: Solve for x
    x = 583,473,114.78/31,024.96
  6. Step 6: Final answer
    x = 18,806.57

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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.