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Finding the Fourth Proportional to 59,498.24, 82,102.34 and 33,999.54

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Solution

The fourth proportional to 59,498.24, 82,102.34 and 33,999.54 is: 46,916.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,498.24 : 82,102.34 = 33,999.54 : x
  2. Step 2: Convert to fraction form
    59,498.24/82,102.34 = 33,999.54/x
  3. Step 3: Cross multiply
    59,498.24x = 82,102.34 × 33,999.54
  4. Step 4: Simplify right side
    59,498.24x = 2,791,441,622.93
  5. Step 5: Solve for x
    x = 2,791,441,622.93/59,498.24
  6. Step 6: Final answer
    x = 46,916.38

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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.