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Finding the Fourth Proportional to 51,874.88, 77,695.20 and 31,054.40

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Solution

The fourth proportional to 51,874.88, 77,695.20 and 31,054.40 is: 46,511.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,874.88 : 77,695.20 = 31,054.40 : x
  2. Step 2: Convert to fraction form
    51,874.88/77,695.20 = 31,054.40/x
  3. Step 3: Cross multiply
    51,874.88x = 77,695.20 × 31,054.40
  4. Step 4: Simplify right side
    51,874.88x = 2,412,777,818.88
  5. Step 5: Solve for x
    x = 2,412,777,818.88/51,874.88
  6. Step 6: Final answer
    x = 46,511.49

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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.