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Finding the Fourth Proportional to 46,856.68, 70,284.84 and 18,789.28

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Solution

The fourth proportional to 46,856.68, 70,284.84 and 18,789.28 is: 28,183.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,856.68 : 70,284.84 = 18,789.28 : x
  2. Step 2: Convert to fraction form
    46,856.68/70,284.84 = 18,789.28/x
  3. Step 3: Cross multiply
    46,856.68x = 70,284.84 × 18,789.28
  4. Step 4: Simplify right side
    46,856.68x = 1,320,601,538.52
  5. Step 5: Solve for x
    x = 1,320,601,538.52/46,856.68
  6. Step 6: Final answer
    x = 28,183.85

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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.