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Finding the Fourth Proportional to 53,125.68, 79,715.40 and 40,638

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Solution

The fourth proportional to 53,125.68, 79,715.40 and 40,638 is: 60,977.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,125.68 : 79,715.40 = 40,638 : x
  2. Step 2: Convert to fraction form
    53,125.68/79,715.40 = 40,638/x
  3. Step 3: Cross multiply
    53,125.68x = 79,715.40 × 40,638
  4. Step 4: Simplify right side
    53,125.68x = 3,239,474,425.20
  5. Step 5: Solve for x
    x = 3,239,474,425.20/53,125.68
  6. Step 6: Final answer
    x = 60,977.56

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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.