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Finding the Fourth Proportional to 82,201.95, 113,430.03 and 47,739.96

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Solution

The fourth proportional to 82,201.95, 113,430.03 and 47,739.96 is: 65,876.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,201.95 : 113,430.03 = 47,739.96 : x
  2. Step 2: Convert to fraction form
    82,201.95/113,430.03 = 47,739.96/x
  3. Step 3: Cross multiply
    82,201.95x = 113,430.03 × 47,739.96
  4. Step 4: Simplify right side
    82,201.95x = 5,415,145,095.00
  5. Step 5: Solve for x
    x = 5,415,145,095.00/82,201.95
  6. Step 6: Final answer
    x = 65,876.11

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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.