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Finding the Fourth Proportional to 61,406.64, 84,734.76 and 34,546.86

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Solution

The fourth proportional to 61,406.64, 84,734.76 and 34,546.86 is: 47,671.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,406.64 : 84,734.76 = 34,546.86 : x
  2. Step 2: Convert to fraction form
    61,406.64/84,734.76 = 34,546.86/x
  3. Step 3: Cross multiply
    61,406.64x = 84,734.76 × 34,546.86
  4. Step 4: Simplify right side
    61,406.64x = 2,927,319,890.85
  5. Step 5: Solve for x
    x = 2,927,319,890.85/61,406.64
  6. Step 6: Final answer
    x = 47,671.06

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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.