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Finding the Fourth Proportional to 46,165.98, 63,694.89 and 28,242.30

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Solution

The fourth proportional to 46,165.98, 63,694.89 and 28,242.30 is: 38,965.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,165.98 : 63,694.89 = 28,242.30 : x
  2. Step 2: Convert to fraction form
    46,165.98/63,694.89 = 28,242.30/x
  3. Step 3: Cross multiply
    46,165.98x = 63,694.89 × 28,242.30
  4. Step 4: Simplify right side
    46,165.98x = 1,798,890,191.85
  5. Step 5: Solve for x
    x = 1,798,890,191.85/46,165.98
  6. Step 6: Final answer
    x = 38,965.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.