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Finding the Fourth Proportional to 27,211.20, 40,816.80 and 27,038.40

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Solution

The fourth proportional to 27,211.20, 40,816.80 and 27,038.40 is: 40,557.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,211.20 : 40,816.80 = 27,038.40 : x
  2. Step 2: Convert to fraction form
    27,211.20/40,816.80 = 27,038.40/x
  3. Step 3: Cross multiply
    27,211.20x = 40,816.80 × 27,038.40
  4. Step 4: Simplify right side
    27,211.20x = 1,103,620,965.12
  5. Step 5: Solve for x
    x = 1,103,620,965.12/27,211.20
  6. Step 6: Final answer
    x = 40,557.60

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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.