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Finding the Fourth Proportional to 77,250.78, 115,802.06 and 24,625.89

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Solution

The fourth proportional to 77,250.78, 115,802.06 and 24,625.89 is: 36,915.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,250.78 : 115,802.06 = 24,625.89 : x
  2. Step 2: Convert to fraction form
    77,250.78/115,802.06 = 24,625.89/x
  3. Step 3: Cross multiply
    77,250.78x = 115,802.06 × 24,625.89
  4. Step 4: Simplify right side
    77,250.78x = 2,851,728,668.20
  5. Step 5: Solve for x
    x = 2,851,728,668.20/77,250.78
  6. Step 6: Final answer
    x = 36,915.21

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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.