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Finding the Fourth Proportional to 72,702.10, 109,053.17 and 22,782.19

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Solution

The fourth proportional to 72,702.10, 109,053.17 and 22,782.19 is: 34,173.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,702.10 : 109,053.17 = 22,782.19 : x
  2. Step 2: Convert to fraction form
    72,702.10/109,053.17 = 22,782.19/x
  3. Step 3: Cross multiply
    72,702.10x = 109,053.17 × 22,782.19
  4. Step 4: Simplify right side
    72,702.10x = 2,484,469,652.50
  5. Step 5: Solve for x
    x = 2,484,469,652.50/72,702.10
  6. Step 6: Final answer
    x = 34,173.29

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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.