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Finding the Fourth Proportional to 114,751.92, 172,101.87 and 43,649.10

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Solution

The fourth proportional to 114,751.92, 172,101.87 and 43,649.10 is: 65,463.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,751.92 : 172,101.87 = 43,649.10 : x
  2. Step 2: Convert to fraction form
    114,751.92/172,101.87 = 43,649.10/x
  3. Step 3: Cross multiply
    114,751.92x = 172,101.87 × 43,649.10
  4. Step 4: Simplify right side
    114,751.92x = 7,512,091,733.82
  5. Step 5: Solve for x
    x = 7,512,091,733.82/114,751.92
  6. Step 6: Final answer
    x = 65,463.76

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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.