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Finding the Fourth Proportional to 84,611.76, 116,764.92 and 46,886.64

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Solution

The fourth proportional to 84,611.76, 116,764.92 and 46,886.64 is: 64,703.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,611.76 : 116,764.92 = 46,886.64 : x
  2. Step 2: Convert to fraction form
    84,611.76/116,764.92 = 46,886.64/x
  3. Step 3: Cross multiply
    84,611.76x = 116,764.92 × 46,886.64
  4. Step 4: Simplify right side
    84,611.76x = 5,474,714,768.67
  5. Step 5: Solve for x
    x = 5,474,714,768.67/84,611.76
  6. Step 6: Final answer
    x = 64,703.95

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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.