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Finding the Fourth Proportional to 70,721.83, 106,038.98 and 33,291.32

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Solution

The fourth proportional to 70,721.83, 106,038.98 and 33,291.32 is: 49,916.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,721.83 : 106,038.98 = 33,291.32 : x
  2. Step 2: Convert to fraction form
    70,721.83/106,038.98 = 33,291.32/x
  3. Step 3: Cross multiply
    70,721.83x = 106,038.98 × 33,291.32
  4. Step 4: Simplify right side
    70,721.83x = 3,530,177,449.20
  5. Step 5: Solve for x
    x = 3,530,177,449.20/70,721.83
  6. Step 6: Final answer
    x = 49,916.38

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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.