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Finding the Fourth Proportional to 125,484.66, 188,232.12 and 31,992.84

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Solution

The fourth proportional to 125,484.66, 188,232.12 and 31,992.84 is: 47,990.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,484.66 : 188,232.12 = 31,992.84 : x
  2. Step 2: Convert to fraction form
    125,484.66/188,232.12 = 31,992.84/x
  3. Step 3: Cross multiply
    125,484.66x = 188,232.12 × 31,992.84
  4. Step 4: Simplify right side
    125,484.66x = 6,022,080,098.02
  5. Step 5: Solve for x
    x = 6,022,080,098.02/125,484.66
  6. Step 6: Final answer
    x = 47,990.57

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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.