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Finding the Fourth Proportional to 106,705.58, 160,058.94 and 31,825.12

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Solution

The fourth proportional to 106,705.58, 160,058.94 and 31,825.12 is: 47,737.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,705.58 : 160,058.94 = 31,825.12 : x
  2. Step 2: Convert to fraction form
    106,705.58/160,058.94 = 31,825.12/x
  3. Step 3: Cross multiply
    106,705.58x = 160,058.94 × 31,825.12
  4. Step 4: Simplify right side
    106,705.58x = 5,093,894,972.57
  5. Step 5: Solve for x
    x = 5,093,894,972.57/106,705.58
  6. Step 6: Final answer
    x = 47,737.85

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1.5x scale

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.