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Finding the Fourth Proportional to 106,736.40, 160,101.84 and 34,688.91

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Solution

The fourth proportional to 106,736.40, 160,101.84 and 34,688.91 is: 52,032.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,736.40 : 160,101.84 = 34,688.91 : x
  2. Step 2: Convert to fraction form
    106,736.40/160,101.84 = 34,688.91/x
  3. Step 3: Cross multiply
    106,736.40x = 160,101.84 × 34,688.91
  4. Step 4: Simplify right side
    106,736.40x = 5,553,757,761.57
  5. Step 5: Solve for x
    x = 5,553,757,761.57/106,736.40
  6. Step 6: Final answer
    x = 52,032.46

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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.