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Finding the Fourth Proportional to 107,115.77, 160,696.13 and 32,241.39

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Solution

The fourth proportional to 107,115.77, 160,696.13 and 32,241.39 is: 48,368.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,115.77 : 160,696.13 = 32,241.39 : x
  2. Step 2: Convert to fraction form
    107,115.77/160,696.13 = 32,241.39/x
  3. Step 3: Cross multiply
    107,115.77x = 160,696.13 × 32,241.39
  4. Step 4: Simplify right side
    107,115.77x = 5,181,066,598.82
  5. Step 5: Solve for x
    x = 5,181,066,598.82/107,115.77
  6. Step 6: Final answer
    x = 48,368.85

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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.