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Finding the Fourth Proportional to 70,783.29, 106,193.31 and 26,410.38

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Solution

The fourth proportional to 70,783.29, 106,193.31 and 26,410.38 is: 39,622.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,783.29 : 106,193.31 = 26,410.38 : x
  2. Step 2: Convert to fraction form
    70,783.29/106,193.31 = 26,410.38/x
  3. Step 3: Cross multiply
    70,783.29x = 106,193.31 × 26,410.38
  4. Step 4: Simplify right side
    70,783.29x = 2,804,605,670.56
  5. Step 5: Solve for x
    x = 2,804,605,670.56/70,783.29
  6. Step 6: Final answer
    x = 39,622.43

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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.