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Finding the Fourth Proportional to 42,806.25, 59,052.72 and 27,703.77

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Solution

The fourth proportional to 42,806.25, 59,052.72 and 27,703.77 is: 38,218.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,806.25 : 59,052.72 = 27,703.77 : x
  2. Step 2: Convert to fraction form
    42,806.25/59,052.72 = 27,703.77/x
  3. Step 3: Cross multiply
    42,806.25x = 59,052.72 × 27,703.77
  4. Step 4: Simplify right side
    42,806.25x = 1,635,982,972.75
  5. Step 5: Solve for x
    x = 1,635,982,972.75/42,806.25
  6. Step 6: Final answer
    x = 38,218.32

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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.