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Finding the Fourth Proportional to 55,108.56, 76,046.60 and 29,957.84

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Solution

The fourth proportional to 55,108.56, 76,046.60 and 29,957.84 is: 41,340.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,108.56 : 76,046.60 = 29,957.84 : x
  2. Step 2: Convert to fraction form
    55,108.56/76,046.60 = 29,957.84/x
  3. Step 3: Cross multiply
    55,108.56x = 76,046.60 × 29,957.84
  4. Step 4: Simplify right side
    55,108.56x = 2,278,191,875.34
  5. Step 5: Solve for x
    x = 2,278,191,875.34/55,108.56
  6. Step 6: Final answer
    x = 41,340.07

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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.