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Finding the Fourth Proportional to 31,244.36, 46,871.40 and 10,463

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Solution

The fourth proportional to 31,244.36, 46,871.40 and 10,463 is: 15,696.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,244.36 : 46,871.40 = 10,463 : x
  2. Step 2: Convert to fraction form
    31,244.36/46,871.40 = 10,463/x
  3. Step 3: Cross multiply
    31,244.36x = 46,871.40 × 10,463
  4. Step 4: Simplify right side
    31,244.36x = 490,415,458.20
  5. Step 5: Solve for x
    x = 490,415,458.20/31,244.36
  6. Step 6: Final answer
    x = 15,696.13

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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.