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Finding the Fourth Proportional to 49,095, 67,751.10 and 26,739

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Solution

The fourth proportional to 49,095, 67,751.10 and 26,739 is: 36,899.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,095 : 67,751.10 = 26,739 : x
  2. Step 2: Convert to fraction form
    49,095/67,751.10 = 26,739/x
  3. Step 3: Cross multiply
    49,095x = 67,751.10 × 26,739
  4. Step 4: Simplify right side
    49,095x = 1,811,596,662.90
  5. Step 5: Solve for x
    x = 1,811,596,662.90/49,095
  6. Step 6: Final answer
    x = 36,899.82

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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.