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Finding the Fourth Proportional to 72,418.38, 108,627.66 and 19,828.32

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Solution

The fourth proportional to 72,418.38, 108,627.66 and 19,828.32 is: 29,742.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,418.38 : 108,627.66 = 19,828.32 : x
  2. Step 2: Convert to fraction form
    72,418.38/108,627.66 = 19,828.32/x
  3. Step 3: Cross multiply
    72,418.38x = 108,627.66 × 19,828.32
  4. Step 4: Simplify right side
    72,418.38x = 2,153,904,003.33
  5. Step 5: Solve for x
    x = 2,153,904,003.33/72,418.38
  6. Step 6: Final answer
    x = 29,742.50

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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.