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Finding the Fourth Proportional to 31,314.10, 46,978.44 and 10,254.02

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Solution

The fourth proportional to 31,314.10, 46,978.44 and 10,254.02 is: 15,383.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,314.10 : 46,978.44 = 10,254.02 : x
  2. Step 2: Convert to fraction form
    31,314.10/46,978.44 = 10,254.02/x
  3. Step 3: Cross multiply
    31,314.10x = 46,978.44 × 10,254.02
  4. Step 4: Simplify right side
    31,314.10x = 481,717,863.33
  5. Step 5: Solve for x
    x = 481,717,863.33/31,314.10
  6. Step 6: Final answer
    x = 15,383.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.