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Finding the Fourth Proportional to 53,442.48, 73,750.32 and 32,223

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Solution

The fourth proportional to 53,442.48, 73,750.32 and 32,223 is: 44,467.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,442.48 : 73,750.32 = 32,223 : x
  2. Step 2: Convert to fraction form
    53,442.48/73,750.32 = 32,223/x
  3. Step 3: Cross multiply
    53,442.48x = 73,750.32 × 32,223
  4. Step 4: Simplify right side
    53,442.48x = 2,376,456,561.36
  5. Step 5: Solve for x
    x = 2,376,456,561.36/53,442.48
  6. Step 6: Final answer
    x = 44,467.56

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.