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Finding the Fourth Proportional to 55,652.40, 83,478.60 and 27,577.80

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Solution

The fourth proportional to 55,652.40, 83,478.60 and 27,577.80 is: 41,366.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,652.40 : 83,478.60 = 27,577.80 : x
  2. Step 2: Convert to fraction form
    55,652.40/83,478.60 = 27,577.80/x
  3. Step 3: Cross multiply
    55,652.40x = 83,478.60 × 27,577.80
  4. Step 4: Simplify right side
    55,652.40x = 2,302,156,135.08
  5. Step 5: Solve for x
    x = 2,302,156,135.08/55,652.40
  6. Step 6: Final answer
    x = 41,366.70

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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.