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Finding the Fourth Proportional to 48,784, 67,324.80 and 27,562.72

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Solution

The fourth proportional to 48,784, 67,324.80 and 27,562.72 is: 38,038.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,784 : 67,324.80 = 27,562.72 : x
  2. Step 2: Convert to fraction form
    48,784/67,324.80 = 27,562.72/x
  3. Step 3: Cross multiply
    48,784x = 67,324.80 × 27,562.72
  4. Step 4: Simplify right side
    48,784x = 1,855,654,611.46
  5. Step 5: Solve for x
    x = 1,855,654,611.46/48,784
  6. Step 6: Final answer
    x = 38,038.18

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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.