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Finding the Fourth Proportional to 55,392.34, 82,956.06 and 31,947.70

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Solution

The fourth proportional to 55,392.34, 82,956.06 and 31,947.70 is: 47,845.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,392.34 : 82,956.06 = 31,947.70 : x
  2. Step 2: Convert to fraction form
    55,392.34/82,956.06 = 31,947.70/x
  3. Step 3: Cross multiply
    55,392.34x = 82,956.06 × 31,947.70
  4. Step 4: Simplify right side
    55,392.34x = 2,650,255,318.06
  5. Step 5: Solve for x
    x = 2,650,255,318.06/55,392.34
  6. Step 6: Final answer
    x = 47,845.16

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.