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Finding the Fourth Proportional to 49,038.86, 67,671.59 and 27,822.13

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Solution

The fourth proportional to 49,038.86, 67,671.59 and 27,822.13 is: 38,393.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,038.86 : 67,671.59 = 27,822.13 : x
  2. Step 2: Convert to fraction form
    49,038.86/67,671.59 = 27,822.13/x
  3. Step 3: Cross multiply
    49,038.86x = 67,671.59 × 27,822.13
  4. Step 4: Simplify right side
    49,038.86x = 1,882,767,466.00
  5. Step 5: Solve for x
    x = 1,882,767,466.00/49,038.86
  6. Step 6: Final answer
    x = 38,393.38

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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.