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Finding the Fourth Proportional to 61,424, 84,765.44 and 34,566.96

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Solution

The fourth proportional to 61,424, 84,765.44 and 34,566.96 is: 47,702.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,424 : 84,765.44 = 34,566.96 : x
  2. Step 2: Convert to fraction form
    61,424/84,765.44 = 34,566.96/x
  3. Step 3: Cross multiply
    61,424x = 84,765.44 × 34,566.96
  4. Step 4: Simplify right side
    61,424x = 2,930,083,573.86
  5. Step 5: Solve for x
    x = 2,930,083,573.86/61,424
  6. Step 6: Final answer
    x = 47,702.58

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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.