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Finding the Fourth Proportional to 55,734.37, 76,894.65 and 31,844.16

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Solution

The fourth proportional to 55,734.37, 76,894.65 and 31,844.16 is: 43,934.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,734.37 : 76,894.65 = 31,844.16 : x
  2. Step 2: Convert to fraction form
    55,734.37/76,894.65 = 31,844.16/x
  3. Step 3: Cross multiply
    55,734.37x = 76,894.65 × 31,844.16
  4. Step 4: Simplify right side
    55,734.37x = 2,448,645,537.74
  5. Step 5: Solve for x
    x = 2,448,645,537.74/55,734.37
  6. Step 6: Final answer
    x = 43,934.21

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