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Finding the Fourth Proportional to 65,345.63, 90,163.06 and 38,478.33

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Solution

The fourth proportional to 65,345.63, 90,163.06 and 38,478.33 is: 53,091.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,345.63 : 90,163.06 = 38,478.33 : x
  2. Step 2: Convert to fraction form
    65,345.63/90,163.06 = 38,478.33/x
  3. Step 3: Cross multiply
    65,345.63x = 90,163.06 × 38,478.33
  4. Step 4: Simplify right side
    65,345.63x = 3,469,323,880.29
  5. Step 5: Solve for x
    x = 3,469,323,880.29/65,345.63
  6. Step 6: Final answer
    x = 53,091.91

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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.