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Finding the Fourth Proportional to 46,614.82, 69,863.85 and 36,715

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Solution

The fourth proportional to 46,614.82, 69,863.85 and 36,715 is: 55,026.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,614.82 : 69,863.85 = 36,715 : x
  2. Step 2: Convert to fraction form
    46,614.82/69,863.85 = 36,715/x
  3. Step 3: Cross multiply
    46,614.82x = 69,863.85 × 36,715
  4. Step 4: Simplify right side
    46,614.82x = 2,565,051,252.75
  5. Step 5: Solve for x
    x = 2,565,051,252.75/46,614.82
  6. Step 6: Final answer
    x = 55,026.52

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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.