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Finding the Fourth Proportional to 72,537.52, 108,783.24 and 23,278

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Solution

The fourth proportional to 72,537.52, 108,783.24 and 23,278 is: 34,909.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,537.52 : 108,783.24 = 23,278 : x
  2. Step 2: Convert to fraction form
    72,537.52/108,783.24 = 23,278/x
  3. Step 3: Cross multiply
    72,537.52x = 108,783.24 × 23,278
  4. Step 4: Simplify right side
    72,537.52x = 2,532,256,260.72
  5. Step 5: Solve for x
    x = 2,532,256,260.72/72,537.52
  6. Step 6: Final answer
    x = 34,909.61

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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.