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Finding the Fourth Proportional to 61,305.93, 84,604.32 and 34,447.86

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Solution

The fourth proportional to 61,305.93, 84,604.32 and 34,447.86 is: 47,539.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,305.93 : 84,604.32 = 34,447.86 : x
  2. Step 2: Convert to fraction form
    61,305.93/84,604.32 = 34,447.86/x
  3. Step 3: Cross multiply
    61,305.93x = 84,604.32 × 34,447.86
  4. Step 4: Simplify right side
    61,305.93x = 2,914,437,770.76
  5. Step 5: Solve for x
    x = 2,914,437,770.76/61,305.93
  6. Step 6: Final answer
    x = 47,539.25

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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.