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Finding the Fourth Proportional to 77,806.88, 116,721.12 and 25,199.36

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Solution

The fourth proportional to 77,806.88, 116,721.12 and 25,199.36 is: 37,802.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,806.88 : 116,721.12 = 25,199.36 : x
  2. Step 2: Convert to fraction form
    77,806.88/116,721.12 = 25,199.36/x
  3. Step 3: Cross multiply
    77,806.88x = 116,721.12 × 25,199.36
  4. Step 4: Simplify right side
    77,806.88x = 2,941,297,522.48
  5. Step 5: Solve for x
    x = 2,941,297,522.48/77,806.88
  6. Step 6: Final answer
    x = 37,802.54

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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.