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Finding the Fourth Proportional to 51,697.14, 77,483.12 and 23,578.70

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Solution

The fourth proportional to 51,697.14, 77,483.12 and 23,578.70 is: 35,339.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,697.14 : 77,483.12 = 23,578.70 : x
  2. Step 2: Convert to fraction form
    51,697.14/77,483.12 = 23,578.70/x
  3. Step 3: Cross multiply
    51,697.14x = 77,483.12 × 23,578.70
  4. Step 4: Simplify right side
    51,697.14x = 1,826,951,241.54
  5. Step 5: Solve for x
    x = 1,826,951,241.54/51,697.14
  6. Step 6: Final answer
    x = 35,339.50

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1.5x scale

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.