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Finding the Fourth Proportional to 53,606.92, 73,977.72 and 29,735.80

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Solution

The fourth proportional to 53,606.92, 73,977.72 and 29,735.80 is: 41,035.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,606.92 : 73,977.72 = 29,735.80 : x
  2. Step 2: Convert to fraction form
    53,606.92/73,977.72 = 29,735.80/x
  3. Step 3: Cross multiply
    53,606.92x = 73,977.72 × 29,735.80
  4. Step 4: Simplify right side
    53,606.92x = 2,199,786,686.38
  5. Step 5: Solve for x
    x = 2,199,786,686.38/53,606.92
  6. Step 6: Final answer
    x = 41,035.50

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.