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Finding the Fourth Proportional to 31,242.41, 46,863.80 and 12,774.41

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Solution

The fourth proportional to 31,242.41, 46,863.80 and 12,774.41 is: 19,161.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,242.41 : 46,863.80 = 12,774.41 : x
  2. Step 2: Convert to fraction form
    31,242.41/46,863.80 = 12,774.41/x
  3. Step 3: Cross multiply
    31,242.41x = 46,863.80 × 12,774.41
  4. Step 4: Simplify right side
    31,242.41x = 598,657,395.36
  5. Step 5: Solve for x
    x = 598,657,395.36/31,242.41
  6. Step 6: Final answer
    x = 19,161.69

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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.