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Finding the Fourth Proportional to 71,156.38, 106,749.94 and 26,783.00

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Solution

The fourth proportional to 71,156.38, 106,749.94 and 26,783.00 is: 40,180.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,156.38 : 106,749.94 = 26,783.00 : x
  2. Step 2: Convert to fraction form
    71,156.38/106,749.94 = 26,783.00/x
  3. Step 3: Cross multiply
    71,156.38x = 106,749.94 × 26,783.00
  4. Step 4: Simplify right side
    71,156.38x = 2,859,084,168.64
  5. Step 5: Solve for x
    x = 2,859,084,168.64/71,156.38
  6. Step 6: Final answer
    x = 40,180.29

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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.