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Finding the Fourth Proportional to 55,671.56, 83,503.56 and 26,096

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Solution

The fourth proportional to 55,671.56, 83,503.56 and 26,096 is: 39,142.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,671.56 : 83,503.56 = 26,096 : x
  2. Step 2: Convert to fraction form
    55,671.56/83,503.56 = 26,096/x
  3. Step 3: Cross multiply
    55,671.56x = 83,503.56 × 26,096
  4. Step 4: Simplify right side
    55,671.56x = 2,179,108,901.76
  5. Step 5: Solve for x
    x = 2,179,108,901.76/55,671.56
  6. Step 6: Final answer
    x = 39,142.23

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