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Finding the Fourth Proportional to 106,992.61, 160,515.56 and 32,114.14

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Solution

The fourth proportional to 106,992.61, 160,515.56 and 32,114.14 is: 48,179.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,992.61 : 160,515.56 = 32,114.14 : x
  2. Step 2: Convert to fraction form
    106,992.61/160,515.56 = 32,114.14/x
  3. Step 3: Cross multiply
    106,992.61x = 160,515.56 × 32,114.14
  4. Step 4: Simplify right side
    106,992.61x = 5,154,818,845.01
  5. Step 5: Solve for x
    x = 5,154,818,845.01/106,992.61
  6. Step 6: Final answer
    x = 48,179.21

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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.