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Finding the Fourth Proportional to 123,761.68, 185,649.94 and 35,021.92

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Solution

The fourth proportional to 123,761.68, 185,649.94 and 35,021.92 is: 52,534.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,761.68 : 185,649.94 = 35,021.92 : x
  2. Step 2: Convert to fraction form
    123,761.68/185,649.94 = 35,021.92/x
  3. Step 3: Cross multiply
    123,761.68x = 185,649.94 × 35,021.92
  4. Step 4: Simplify right side
    123,761.68x = 6,501,817,346.68
  5. Step 5: Solve for x
    x = 6,501,817,346.68/123,761.68
  6. Step 6: Final answer
    x = 52,534.98

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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.