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Finding the Fourth Proportional to 65,785.50, 98,638.83 and 31,984.94

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Solution

The fourth proportional to 65,785.50, 98,638.83 and 31,984.94 is: 47,958.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,785.50 : 98,638.83 = 31,984.94 : x
  2. Step 2: Convert to fraction form
    65,785.50/98,638.83 = 31,984.94/x
  3. Step 3: Cross multiply
    65,785.50x = 98,638.83 × 31,984.94
  4. Step 4: Simplify right side
    65,785.50x = 3,154,957,305.82
  5. Step 5: Solve for x
    x = 3,154,957,305.82/65,785.50
  6. Step 6: Final answer
    x = 47,958.25

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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.