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Finding the Fourth Proportional to 54,993.39, 75,897.06 and 31,121.61

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Solution

The fourth proportional to 54,993.39, 75,897.06 and 31,121.61 is: 42,951.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,993.39 : 75,897.06 = 31,121.61 : x
  2. Step 2: Convert to fraction form
    54,993.39/75,897.06 = 31,121.61/x
  3. Step 3: Cross multiply
    54,993.39x = 75,897.06 × 31,121.61
  4. Step 4: Simplify right side
    54,993.39x = 2,362,038,701.47
  5. Step 5: Solve for x
    x = 2,362,038,701.47/54,993.39
  6. Step 6: Final answer
    x = 42,951.32

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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.