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Finding the Fourth Proportional to 52,536, 78,817.68 and 15,600

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Solution

The fourth proportional to 52,536, 78,817.68 and 15,600 is: 23,404.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,536 : 78,817.68 = 15,600 : x
  2. Step 2: Convert to fraction form
    52,536/78,817.68 = 15,600/x
  3. Step 3: Cross multiply
    52,536x = 78,817.68 × 15,600
  4. Step 4: Simplify right side
    52,536x = 1,229,555,808
  5. Step 5: Solve for x
    x = 1,229,555,808/52,536
  6. Step 6: Final answer
    x = 23,404.06

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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.