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Finding the Fourth Proportional to 48,784.92, 67,324.52 and 27,563.76

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Solution

The fourth proportional to 48,784.92, 67,324.52 and 27,563.76 is: 38,038.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,784.92 : 67,324.52 = 27,563.76 : x
  2. Step 2: Convert to fraction form
    48,784.92/67,324.52 = 27,563.76/x
  3. Step 3: Cross multiply
    48,784.92x = 67,324.52 × 27,563.76
  4. Step 4: Simplify right side
    48,784.92x = 1,855,716,911.40
  5. Step 5: Solve for x
    x = 1,855,716,911.40/48,784.92
  6. Step 6: Final answer
    x = 38,038.74

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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.