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Finding the Fourth Proportional to 51,578.50, 77,402.31 and 18,746.50

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Solution

The fourth proportional to 51,578.50, 77,402.31 and 18,746.50 is: 28,132.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,578.50 : 77,402.31 = 18,746.50 : x
  2. Step 2: Convert to fraction form
    51,578.50/77,402.31 = 18,746.50/x
  3. Step 3: Cross multiply
    51,578.50x = 77,402.31 × 18,746.50
  4. Step 4: Simplify right side
    51,578.50x = 1,451,022,404.42
  5. Step 5: Solve for x
    x = 1,451,022,404.42/51,578.50
  6. Step 6: Final answer
    x = 28,132.31

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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.