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Finding the Fourth Proportional to 31,040.31, 46,552.17 and 13,506

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Solution

The fourth proportional to 31,040.31, 46,552.17 and 13,506 is: 20,255.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,040.31 : 46,552.17 = 13,506 : x
  2. Step 2: Convert to fraction form
    31,040.31/46,552.17 = 13,506/x
  3. Step 3: Cross multiply
    31,040.31x = 46,552.17 × 13,506
  4. Step 4: Simplify right side
    31,040.31x = 628,733,608.02
  5. Step 5: Solve for x
    x = 628,733,608.02/31,040.31
  6. Step 6: Final answer
    x = 20,255.39

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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.