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Finding the Fourth Proportional to 51,578.86, 71,113.41 and 36,862.31

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Solution

The fourth proportional to 51,578.86, 71,113.41 and 36,862.31 is: 50,823.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,578.86 : 71,113.41 = 36,862.31 : x
  2. Step 2: Convert to fraction form
    51,578.86/71,113.41 = 36,862.31/x
  3. Step 3: Cross multiply
    51,578.86x = 71,113.41 × 36,862.31
  4. Step 4: Simplify right side
    51,578.86x = 2,621,404,564.58
  5. Step 5: Solve for x
    x = 2,621,404,564.58/51,578.86
  6. Step 6: Final answer
    x = 50,823.24

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.