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Finding the Fourth Proportional to 47,801.94, 71,702.91 and 19,737.87

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Solution

The fourth proportional to 47,801.94, 71,702.91 and 19,737.87 is: 29,606.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,801.94 : 71,702.91 = 19,737.87 : x
  2. Step 2: Convert to fraction form
    47,801.94/71,702.91 = 19,737.87/x
  3. Step 3: Cross multiply
    47,801.94x = 71,702.91 × 19,737.87
  4. Step 4: Simplify right side
    47,801.94x = 1,415,262,716.20
  5. Step 5: Solve for x
    x = 1,415,262,716.20/47,801.94
  6. Step 6: Final answer
    x = 29,606.81

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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.