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Finding the Fourth Proportional to 51,802.74, 77,645.79 and 25,525.94

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Solution

The fourth proportional to 51,802.74, 77,645.79 and 25,525.94 is: 38,260.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,802.74 : 77,645.79 = 25,525.94 : x
  2. Step 2: Convert to fraction form
    51,802.74/77,645.79 = 25,525.94/x
  3. Step 3: Cross multiply
    51,802.74x = 77,645.79 × 25,525.94
  4. Step 4: Simplify right side
    51,802.74x = 1,981,981,388.56
  5. Step 5: Solve for x
    x = 1,981,981,388.56/51,802.74
  6. Step 6: Final answer
    x = 38,260.17

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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.