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Finding the Fourth Proportional to 38,974.86, 53,749.44 and 25,541.24

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Solution

The fourth proportional to 38,974.86, 53,749.44 and 25,541.24 is: 35,223.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,974.86 : 53,749.44 = 25,541.24 : x
  2. Step 2: Convert to fraction form
    38,974.86/53,749.44 = 25,541.24/x
  3. Step 3: Cross multiply
    38,974.86x = 53,749.44 × 25,541.24
  4. Step 4: Simplify right side
    38,974.86x = 1,372,827,078.16
  5. Step 5: Solve for x
    x = 1,372,827,078.16/38,974.86
  6. Step 6: Final answer
    x = 35,223.40

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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.