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Finding the Fourth Proportional to 31,203, 46,804.50 and 12,491.46

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Solution

The fourth proportional to 31,203, 46,804.50 and 12,491.46 is: 18,737.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,203 : 46,804.50 = 12,491.46 : x
  2. Step 2: Convert to fraction form
    31,203/46,804.50 = 12,491.46/x
  3. Step 3: Cross multiply
    31,203x = 46,804.50 × 12,491.46
  4. Step 4: Simplify right side
    31,203x = 584,656,539.57
  5. Step 5: Solve for x
    x = 584,656,539.57/31,203
  6. Step 6: Final answer
    x = 18,737.19

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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.