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Finding the Fourth Proportional to 48,672.78, 72,998.16 and 22,352.22

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Solution

The fourth proportional to 48,672.78, 72,998.16 and 22,352.22 is: 33,523.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,672.78 : 72,998.16 = 22,352.22 : x
  2. Step 2: Convert to fraction form
    48,672.78/72,998.16 = 22,352.22/x
  3. Step 3: Cross multiply
    48,672.78x = 72,998.16 × 22,352.22
  4. Step 4: Simplify right side
    48,672.78x = 1,631,670,931.92
  5. Step 5: Solve for x
    x = 1,631,670,931.92/48,672.78
  6. Step 6: Final answer
    x = 33,523.27

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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.