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Finding the Fourth Proportional to 81,192, 121,803.36 and 37,416

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Solution

The fourth proportional to 81,192, 121,803.36 and 37,416 is: 56,131.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,192 : 121,803.36 = 37,416 : x
  2. Step 2: Convert to fraction form
    81,192/121,803.36 = 37,416/x
  3. Step 3: Cross multiply
    81,192x = 121,803.36 × 37,416
  4. Step 4: Simplify right side
    81,192x = 4,557,394,517.76
  5. Step 5: Solve for x
    x = 4,557,394,517.76/81,192
  6. Step 6: Final answer
    x = 56,131.08

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.