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Finding the Fourth Proportional to 55,687.74, 83,602.89 and 47,840.46

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Solution

The fourth proportional to 55,687.74, 83,602.89 and 47,840.46 is: 71,821.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,687.74 : 83,602.89 = 47,840.46 : x
  2. Step 2: Convert to fraction form
    55,687.74/83,602.89 = 47,840.46/x
  3. Step 3: Cross multiply
    55,687.74x = 83,602.89 × 47,840.46
  4. Step 4: Simplify right side
    55,687.74x = 3,999,600,475.73
  5. Step 5: Solve for x
    x = 3,999,600,475.73/55,687.74
  6. Step 6: Final answer
    x = 71,821.92

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.