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Finding the Fourth Proportional to 53,438.64, 80,132.06 and 21,836.14

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Solution

The fourth proportional to 53,438.64, 80,132.06 and 21,836.14 is: 32,743.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,438.64 : 80,132.06 = 21,836.14 : x
  2. Step 2: Convert to fraction form
    53,438.64/80,132.06 = 21,836.14/x
  3. Step 3: Cross multiply
    53,438.64x = 80,132.06 × 21,836.14
  4. Step 4: Simplify right side
    53,438.64x = 1,749,774,880.65
  5. Step 5: Solve for x
    x = 1,749,774,880.65/53,438.64
  6. Step 6: Final answer
    x = 32,743.63

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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.