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Finding the Fourth Proportional to 42,762.78, 58,998.18 and 27,674.50

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Solution

The fourth proportional to 42,762.78, 58,998.18 and 27,674.50 is: 38,181.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,762.78 : 58,998.18 = 27,674.50 : x
  2. Step 2: Convert to fraction form
    42,762.78/58,998.18 = 27,674.50/x
  3. Step 3: Cross multiply
    42,762.78x = 58,998.18 × 27,674.50
  4. Step 4: Simplify right side
    42,762.78x = 1,632,745,132.41
  5. Step 5: Solve for x
    x = 1,632,745,132.41/42,762.78
  6. Step 6: Final answer
    x = 38,181.45

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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.