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Finding the Fourth Proportional to 51,697.12, 77,483.12 and 23,578.68

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Solution

The fourth proportional to 51,697.12, 77,483.12 and 23,578.68 is: 35,339.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,697.12 : 77,483.12 = 23,578.68 : x
  2. Step 2: Convert to fraction form
    51,697.12/77,483.12 = 23,578.68/x
  3. Step 3: Cross multiply
    51,697.12x = 77,483.12 × 23,578.68
  4. Step 4: Simplify right side
    51,697.12x = 1,826,949,691.88
  5. Step 5: Solve for x
    x = 1,826,949,691.88/51,697.12
  6. Step 6: Final answer
    x = 35,339.49

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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.