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Finding the Fourth Proportional to 61,906.11, 85,507.74 and 47,738.01

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Solution

The fourth proportional to 61,906.11, 85,507.74 and 47,738.01 is: 65,938.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,906.11 : 85,507.74 = 47,738.01 : x
  2. Step 2: Convert to fraction form
    61,906.11/85,507.74 = 47,738.01/x
  3. Step 3: Cross multiply
    61,906.11x = 85,507.74 × 47,738.01
  4. Step 4: Simplify right side
    61,906.11x = 4,081,969,347.20
  5. Step 5: Solve for x
    x = 4,081,969,347.20/61,906.11
  6. Step 6: Final answer
    x = 65,938.07

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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.