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Finding the Fourth Proportional to 72,702.35, 109,053.56 and 22,786.32

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Solution

The fourth proportional to 72,702.35, 109,053.56 and 22,786.32 is: 34,179.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,702.35 : 109,053.56 = 22,786.32 : x
  2. Step 2: Convert to fraction form
    72,702.35/109,053.56 = 22,786.32/x
  3. Step 3: Cross multiply
    72,702.35x = 109,053.56 × 22,786.32
  4. Step 4: Simplify right side
    72,702.35x = 2,484,929,201.37
  5. Step 5: Solve for x
    x = 2,484,929,201.37/72,702.35
  6. Step 6: Final answer
    x = 34,179.49

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.