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Finding the Fourth Proportional to 106,992.96, 160,516.13 and 32,114.49

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Solution

The fourth proportional to 106,992.96, 160,516.13 and 32,114.49 is: 48,179.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,992.96 : 160,516.13 = 32,114.49 : x
  2. Step 2: Convert to fraction form
    106,992.96/160,516.13 = 32,114.49/x
  3. Step 3: Cross multiply
    106,992.96x = 160,516.13 × 32,114.49
  4. Step 4: Simplify right side
    106,992.96x = 5,154,893,491.15
  5. Step 5: Solve for x
    x = 5,154,893,491.15/106,992.96
  6. Step 6: Final answer
    x = 48,179.74

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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.