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Finding the Fourth Proportional to 49,055.92, 67,697.63 and 27,833.52

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Solution

The fourth proportional to 49,055.92, 67,697.63 and 27,833.52 is: 38,410.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,055.92 : 67,697.63 = 27,833.52 : x
  2. Step 2: Convert to fraction form
    49,055.92/67,697.63 = 27,833.52/x
  3. Step 3: Cross multiply
    49,055.92x = 67,697.63 × 27,833.52
  4. Step 4: Simplify right side
    49,055.92x = 1,884,263,333.40
  5. Step 5: Solve for x
    x = 1,884,263,333.40/49,055.92
  6. Step 6: Final answer
    x = 38,410.52

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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.