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Finding the Fourth Proportional to 103,782.78, 155,696.04 and 33,656.63

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Solution

The fourth proportional to 103,782.78, 155,696.04 and 33,656.63 is: 50,492.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,782.78 : 155,696.04 = 33,656.63 : x
  2. Step 2: Convert to fraction form
    103,782.78/155,696.04 = 33,656.63/x
  3. Step 3: Cross multiply
    103,782.78x = 155,696.04 × 33,656.63
  4. Step 4: Simplify right side
    103,782.78x = 5,240,203,232.27
  5. Step 5: Solve for x
    x = 5,240,203,232.27/103,782.78
  6. Step 6: Final answer
    x = 50,492.03

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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.