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Finding the Fourth Proportional to 31,122.96, 46,665.56 and 12,405.84

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Solution

The fourth proportional to 31,122.96, 46,665.56 and 12,405.84 is: 18,601.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,122.96 : 46,665.56 = 12,405.84 : x
  2. Step 2: Convert to fraction form
    31,122.96/46,665.56 = 12,405.84/x
  3. Step 3: Cross multiply
    31,122.96x = 46,665.56 × 12,405.84
  4. Step 4: Simplify right side
    31,122.96x = 578,925,470.87
  5. Step 5: Solve for x
    x = 578,925,470.87/31,122.96
  6. Step 6: Final answer
    x = 18,601.23

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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.