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Finding the Fourth Proportional to 74,656.78, 103,026.36 and 41,122.78

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Solution

The fourth proportional to 74,656.78, 103,026.36 and 41,122.78 is: 56,749.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,656.78 : 103,026.36 = 41,122.78 : x
  2. Step 2: Convert to fraction form
    74,656.78/103,026.36 = 41,122.78/x
  3. Step 3: Cross multiply
    74,656.78x = 103,026.36 × 41,122.78
  4. Step 4: Simplify right side
    74,656.78x = 4,236,730,619.47
  5. Step 5: Solve for x
    x = 4,236,730,619.47/74,656.78
  6. Step 6: Final answer
    x = 56,749.44

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.