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Finding the Fourth Proportional to 47,442.68, 65,381 and 33,990.84

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Solution

The fourth proportional to 47,442.68, 65,381 and 33,990.84 is: 46,842.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,442.68 : 65,381 = 33,990.84 : x
  2. Step 2: Convert to fraction form
    47,442.68/65,381 = 33,990.84/x
  3. Step 3: Cross multiply
    47,442.68x = 65,381 × 33,990.84
  4. Step 4: Simplify right side
    47,442.68x = 2,222,355,110.04
  5. Step 5: Solve for x
    x = 2,222,355,110.04/47,442.68
  6. Step 6: Final answer
    x = 46,842.95

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.