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Finding the Fourth Proportional to 35,796.78, 49,402.22 and 22,187.50

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Solution

The fourth proportional to 35,796.78, 49,402.22 and 22,187.50 is: 30,620.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,796.78 : 49,402.22 = 22,187.50 : x
  2. Step 2: Convert to fraction form
    35,796.78/49,402.22 = 22,187.50/x
  3. Step 3: Cross multiply
    35,796.78x = 49,402.22 × 22,187.50
  4. Step 4: Simplify right side
    35,796.78x = 1,096,111,521.81
  5. Step 5: Solve for x
    x = 1,096,111,521.81/35,796.78
  6. Step 6: Final answer
    x = 30,620.39

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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.