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Finding the Fourth Proportional to 55,705.49, 83,572.07 and 27,638.72

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Solution

The fourth proportional to 55,705.49, 83,572.07 and 27,638.72 is: 41,464.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,705.49 : 83,572.07 = 27,638.72 : x
  2. Step 2: Convert to fraction form
    55,705.49/83,572.07 = 27,638.72/x
  3. Step 3: Cross multiply
    55,705.49x = 83,572.07 × 27,638.72
  4. Step 4: Simplify right side
    55,705.49x = 2,309,824,486.50
  5. Step 5: Solve for x
    x = 2,309,824,486.50/55,705.49
  6. Step 6: Final answer
    x = 41,464.94

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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.