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Finding the Fourth Proportional to 54,883.22, 75,737.86 and 31,009.38

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Solution

The fourth proportional to 54,883.22, 75,737.86 and 31,009.38 is: 42,792.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,883.22 : 75,737.86 = 31,009.38 : x
  2. Step 2: Convert to fraction form
    54,883.22/75,737.86 = 31,009.38/x
  3. Step 3: Cross multiply
    54,883.22x = 75,737.86 × 31,009.38
  4. Step 4: Simplify right side
    54,883.22x = 2,348,584,232.83
  5. Step 5: Solve for x
    x = 2,348,584,232.83/54,883.22
  6. Step 6: Final answer
    x = 42,792.39

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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.