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Finding the Fourth Proportional to 69,502.60, 104,173.35 and 31,983.94

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Solution

The fourth proportional to 69,502.60, 104,173.35 and 31,983.94 is: 47,938.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,502.60 : 104,173.35 = 31,983.94 : x
  2. Step 2: Convert to fraction form
    69,502.60/104,173.35 = 31,983.94/x
  3. Step 3: Cross multiply
    69,502.60x = 104,173.35 × 31,983.94
  4. Step 4: Simplify right side
    69,502.60x = 3,331,874,176.00
  5. Step 5: Solve for x
    x = 3,331,874,176.00/69,502.60
  6. Step 6: Final answer
    x = 47,938.84

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Why These Related Problems?

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