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Finding the Fourth Proportional to 68,731.20, 103,048.20 and 31,309.20

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Solution

The fourth proportional to 68,731.20, 103,048.20 and 31,309.20 is: 46,941.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,731.20 : 103,048.20 = 31,309.20 : x
  2. Step 2: Convert to fraction form
    68,731.20/103,048.20 = 31,309.20/x
  3. Step 3: Cross multiply
    68,731.20x = 103,048.20 × 31,309.20
  4. Step 4: Simplify right side
    68,731.20x = 3,226,356,703.44
  5. Step 5: Solve for x
    x = 3,226,356,703.44/68,731.20
  6. Step 6: Final answer
    x = 46,941.66

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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.