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Finding the Fourth Proportional to 53,882.40, 80,823.60 and 14,438.52

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Solution

The fourth proportional to 53,882.40, 80,823.60 and 14,438.52 is: 21,657.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,882.40 : 80,823.60 = 14,438.52 : x
  2. Step 2: Convert to fraction form
    53,882.40/80,823.60 = 14,438.52/x
  3. Step 3: Cross multiply
    53,882.40x = 80,823.60 × 14,438.52
  4. Step 4: Simplify right side
    53,882.40x = 1,166,973,165.07
  5. Step 5: Solve for x
    x = 1,166,973,165.07/53,882.40
  6. Step 6: Final answer
    x = 21,657.78

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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.