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Finding the Fourth Proportional to 52,163.72, 78,140.58 and 24,044.60

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Solution

The fourth proportional to 52,163.72, 78,140.58 and 24,044.60 is: 36,018.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,163.72 : 78,140.58 = 24,044.60 : x
  2. Step 2: Convert to fraction form
    52,163.72/78,140.58 = 24,044.60/x
  3. Step 3: Cross multiply
    52,163.72x = 78,140.58 × 24,044.60
  4. Step 4: Simplify right side
    52,163.72x = 1,878,858,989.87
  5. Step 5: Solve for x
    x = 1,878,858,989.87/52,163.72
  6. Step 6: Final answer
    x = 36,018.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.