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Finding the Fourth Proportional to 106,961.70, 160,444.56 and 40,433.16

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Solution

The fourth proportional to 106,961.70, 160,444.56 and 40,433.16 is: 60,650.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,961.70 : 160,444.56 = 40,433.16 : x
  2. Step 2: Convert to fraction form
    106,961.70/160,444.56 = 40,433.16/x
  3. Step 3: Cross multiply
    106,961.70x = 160,444.56 × 40,433.16
  4. Step 4: Simplify right side
    106,961.70x = 6,487,280,565.61
  5. Step 5: Solve for x
    x = 6,487,280,565.61/106,961.70
  6. Step 6: Final answer
    x = 60,650.50

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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.