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Finding the Fourth Proportional to 72,702.41, 109,053.44 and 22,786.31

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Solution

The fourth proportional to 72,702.41, 109,053.44 and 22,786.31 is: 34,179.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,702.41 : 109,053.44 = 22,786.31 : x
  2. Step 2: Convert to fraction form
    72,702.41/109,053.44 = 22,786.31/x
  3. Step 3: Cross multiply
    72,702.41x = 109,053.44 × 22,786.31
  4. Step 4: Simplify right side
    72,702.41x = 2,484,925,002.10
  5. Step 5: Solve for x
    x = 2,484,925,002.10/72,702.41
  6. Step 6: Final answer
    x = 34,179.41

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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.