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Finding the Fourth Proportional to 46,616.32, 69,866.09 and 36,716.50

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Solution

The fourth proportional to 46,616.32, 69,866.09 and 36,716.50 is: 55,028.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,616.32 : 69,866.09 = 36,716.50 : x
  2. Step 2: Convert to fraction form
    46,616.32/69,866.09 = 36,716.50/x
  3. Step 3: Cross multiply
    46,616.32x = 69,866.09 × 36,716.50
  4. Step 4: Simplify right side
    46,616.32x = 2,565,238,293.49
  5. Step 5: Solve for x
    x = 2,565,238,293.49/46,616.32
  6. Step 6: Final answer
    x = 55,028.76

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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.