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Finding the Fourth Proportional to 55,822.30, 77,046.97 and 34,330.55

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Solution

The fourth proportional to 55,822.30, 77,046.97 and 34,330.55 is: 47,383.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,822.30 : 77,046.97 = 34,330.55 : x
  2. Step 2: Convert to fraction form
    55,822.30/77,046.97 = 34,330.55/x
  3. Step 3: Cross multiply
    55,822.30x = 77,046.97 × 34,330.55
  4. Step 4: Simplify right side
    55,822.30x = 2,645,064,436.90
  5. Step 5: Solve for x
    x = 2,645,064,436.90/55,822.30
  6. Step 6: Final answer
    x = 47,383.65

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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.