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Finding the Fourth Proportional to 51,726.29, 71,388.88 and 31,578.86

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Solution

The fourth proportional to 51,726.29, 71,388.88 and 31,578.86 is: 43,582.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,726.29 : 71,388.88 = 31,578.86 : x
  2. Step 2: Convert to fraction form
    51,726.29/71,388.88 = 31,578.86/x
  3. Step 3: Cross multiply
    51,726.29x = 71,388.88 × 31,578.86
  4. Step 4: Simplify right side
    51,726.29x = 2,254,378,932.24
  5. Step 5: Solve for x
    x = 2,254,378,932.24/51,726.29
  6. Step 6: Final answer
    x = 43,582.85

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