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Finding the Fourth Proportional to 42,933.68, 59,236.36 and 27,826.98

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Solution

The fourth proportional to 42,933.68, 59,236.36 and 27,826.98 is: 38,393.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,933.68 : 59,236.36 = 27,826.98 : x
  2. Step 2: Convert to fraction form
    42,933.68/59,236.36 = 27,826.98/x
  3. Step 3: Cross multiply
    42,933.68x = 59,236.36 × 27,826.98
  4. Step 4: Simplify right side
    42,933.68x = 1,648,368,869.82
  5. Step 5: Solve for x
    x = 1,648,368,869.82/42,933.68
  6. Step 6: Final answer
    x = 38,393.38

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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.