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Finding the Fourth Proportional to 46,633.50, 69,961.32 and 15,468.78

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Solution

The fourth proportional to 46,633.50, 69,961.32 and 15,468.78 is: 23,206.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,633.50 : 69,961.32 = 15,468.78 : x
  2. Step 2: Convert to fraction form
    46,633.50/69,961.32 = 15,468.78/x
  3. Step 3: Cross multiply
    46,633.50x = 69,961.32 × 15,468.78
  4. Step 4: Simplify right side
    46,633.50x = 1,082,216,267.59
  5. Step 5: Solve for x
    x = 1,082,216,267.59/46,633.50
  6. Step 6: Final answer
    x = 23,206.84

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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.