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Finding the Fourth Proportional to 39,105.53, 53,945.82 and 24,741.26

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Solution

The fourth proportional to 39,105.53, 53,945.82 and 24,741.26 is: 34,130.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,105.53 : 53,945.82 = 24,741.26 : x
  2. Step 2: Convert to fraction form
    39,105.53/53,945.82 = 24,741.26/x
  3. Step 3: Cross multiply
    39,105.53x = 53,945.82 × 24,741.26
  4. Step 4: Simplify right side
    39,105.53x = 1,334,687,288.80
  5. Step 5: Solve for x
    x = 1,334,687,288.80/39,105.53
  6. Step 6: Final answer
    x = 34,130.40

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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.