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Finding the Fourth Proportional to 55,648.32, 76,818.72 and 33,288

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Solution

The fourth proportional to 55,648.32, 76,818.72 and 33,288 is: 45,951.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,648.32 : 76,818.72 = 33,288 : x
  2. Step 2: Convert to fraction form
    55,648.32/76,818.72 = 33,288/x
  3. Step 3: Cross multiply
    55,648.32x = 76,818.72 × 33,288
  4. Step 4: Simplify right side
    55,648.32x = 2,557,141,551.36
  5. Step 5: Solve for x
    x = 2,557,141,551.36/55,648.32
  6. Step 6: Final answer
    x = 45,951.82

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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.