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Finding the Fourth Proportional to 65,902.54, 90,941.90 and 39,047.52

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Solution

The fourth proportional to 65,902.54, 90,941.90 and 39,047.52 is: 53,883.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,902.54 : 90,941.90 = 39,047.52 : x
  2. Step 2: Convert to fraction form
    65,902.54/90,941.90 = 39,047.52/x
  3. Step 3: Cross multiply
    65,902.54x = 90,941.90 × 39,047.52
  4. Step 4: Simplify right side
    65,902.54x = 3,551,055,659.09
  5. Step 5: Solve for x
    x = 3,551,055,659.09/65,902.54
  6. Step 6: Final answer
    x = 53,883.44

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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.