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Finding the Fourth Proportional to 42,763.02, 58,974.50 and 27,639.78

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Solution

The fourth proportional to 42,763.02, 58,974.50 and 27,639.78 is: 38,118.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,763.02 : 58,974.50 = 27,639.78 : x
  2. Step 2: Convert to fraction form
    42,763.02/58,974.50 = 27,639.78/x
  3. Step 3: Cross multiply
    42,763.02x = 58,974.50 × 27,639.78
  4. Step 4: Simplify right side
    42,763.02x = 1,630,042,274.71
  5. Step 5: Solve for x
    x = 1,630,042,274.71/42,763.02
  6. Step 6: Final answer
    x = 38,118.03

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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.