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Finding the Fourth Proportional to 49,182, 73,753.56 and 24,203.76

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Solution

The fourth proportional to 49,182, 73,753.56 and 24,203.76 is: 36,296.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,182 : 73,753.56 = 24,203.76 : x
  2. Step 2: Convert to fraction form
    49,182/73,753.56 = 24,203.76/x
  3. Step 3: Cross multiply
    49,182x = 73,753.56 × 24,203.76
  4. Step 4: Simplify right side
    49,182x = 1,785,113,465.39
  5. Step 5: Solve for x
    x = 1,785,113,465.39/49,182
  6. Step 6: Final answer
    x = 36,296.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.