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Finding the Fourth Proportional to 49,014.56, 67,655.36 and 27,807.84

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Solution

The fourth proportional to 49,014.56, 67,655.36 and 27,807.84 is: 38,383.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,014.56 : 67,655.36 = 27,807.84 : x
  2. Step 2: Convert to fraction form
    49,014.56/67,655.36 = 27,807.84/x
  3. Step 3: Cross multiply
    49,014.56x = 67,655.36 × 27,807.84
  4. Step 4: Simplify right side
    49,014.56x = 1,881,349,426.02
  5. Step 5: Solve for x
    x = 1,881,349,426.02/49,014.56
  6. Step 6: Final answer
    x = 38,383.48

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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.