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Finding the Fourth Proportional to 35,966.94, 49,634.22 and 20,862.66

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Solution

The fourth proportional to 35,966.94, 49,634.22 and 20,862.66 is: 28,790.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,966.94 : 49,634.22 = 20,862.66 : x
  2. Step 2: Convert to fraction form
    35,966.94/49,634.22 = 20,862.66/x
  3. Step 3: Cross multiply
    35,966.94x = 49,634.22 × 20,862.66
  4. Step 4: Simplify right side
    35,966.94x = 1,035,501,856.23
  5. Step 5: Solve for x
    x = 1,035,501,856.23/35,966.94
  6. Step 6: Final answer
    x = 28,790.38

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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.