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Finding the Fourth Proportional to 36,070.38, 49,752 and 33,096.06

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Solution

The fourth proportional to 36,070.38, 49,752 and 33,096.06 is: 45,649.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,070.38 : 49,752 = 33,096.06 : x
  2. Step 2: Convert to fraction form
    36,070.38/49,752 = 33,096.06/x
  3. Step 3: Cross multiply
    36,070.38x = 49,752 × 33,096.06
  4. Step 4: Simplify right side
    36,070.38x = 1,646,595,177.12
  5. Step 5: Solve for x
    x = 1,646,595,177.12/36,070.38
  6. Step 6: Final answer
    x = 45,649.51

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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.