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Finding the Fourth Proportional to 31,274.66, 46,912.13 and 7,901.10

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Solution

The fourth proportional to 31,274.66, 46,912.13 and 7,901.10 is: 11,851.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,274.66 : 46,912.13 = 7,901.10 : x
  2. Step 2: Convert to fraction form
    31,274.66/46,912.13 = 7,901.10/x
  3. Step 3: Cross multiply
    31,274.66x = 46,912.13 × 7,901.10
  4. Step 4: Simplify right side
    31,274.66x = 370,657,390.84
  5. Step 5: Solve for x
    x = 370,657,390.84/31,274.66
  6. Step 6: Final answer
    x = 11,851.69

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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.