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Finding the Fourth Proportional to 51,550.40, 77,228.40 and 26,505.20

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Solution

The fourth proportional to 51,550.40, 77,228.40 and 26,505.20 is: 39,707.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,550.40 : 77,228.40 = 26,505.20 : x
  2. Step 2: Convert to fraction form
    51,550.40/77,228.40 = 26,505.20/x
  3. Step 3: Cross multiply
    51,550.40x = 77,228.40 × 26,505.20
  4. Step 4: Simplify right side
    51,550.40x = 2,046,954,187.68
  5. Step 5: Solve for x
    x = 2,046,954,187.68/51,550.40
  6. Step 6: Final answer
    x = 39,707.82

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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.