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Finding the Fourth Proportional to 31,222.74, 46,807.82 and 14,574

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Solution

The fourth proportional to 31,222.74, 46,807.82 and 14,574 is: 21,848.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,222.74 : 46,807.82 = 14,574 : x
  2. Step 2: Convert to fraction form
    31,222.74/46,807.82 = 14,574/x
  3. Step 3: Cross multiply
    31,222.74x = 46,807.82 × 14,574
  4. Step 4: Simplify right side
    31,222.74x = 682,177,168.68
  5. Step 5: Solve for x
    x = 682,177,168.68/31,222.74
  6. Step 6: Final answer
    x = 21,848.73

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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.