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Finding the Fourth Proportional to 55,758.66, 76,961.70 and 34,525.86

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Solution

The fourth proportional to 55,758.66, 76,961.70 and 34,525.86 is: 47,654.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,758.66 : 76,961.70 = 34,525.86 : x
  2. Step 2: Convert to fraction form
    55,758.66/76,961.70 = 34,525.86/x
  3. Step 3: Cross multiply
    55,758.66x = 76,961.70 × 34,525.86
  4. Step 4: Simplify right side
    55,758.66x = 2,657,168,879.56
  5. Step 5: Solve for x
    x = 2,657,168,879.56/55,758.66
  6. Step 6: Final answer
    x = 47,654.82

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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.