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Finding the Fourth Proportional to 49,047.02, 67,682.88 and 27,825.86

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Solution

The fourth proportional to 49,047.02, 67,682.88 and 27,825.86 is: 38,398.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,047.02 : 67,682.88 = 27,825.86 : x
  2. Step 2: Convert to fraction form
    49,047.02/67,682.88 = 27,825.86/x
  3. Step 3: Cross multiply
    49,047.02x = 67,682.88 × 27,825.86
  4. Step 4: Simplify right side
    49,047.02x = 1,883,334,343.28
  5. Step 5: Solve for x
    x = 1,883,334,343.28/49,047.02
  6. Step 6: Final answer
    x = 38,398.55

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.