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Finding the Fourth Proportional to 27,522.60, 41,235.30 and 22,565.40

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Solution

The fourth proportional to 27,522.60, 41,235.30 and 22,565.40 is: 33,808.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,522.60 : 41,235.30 = 22,565.40 : x
  2. Step 2: Convert to fraction form
    27,522.60/41,235.30 = 22,565.40/x
  3. Step 3: Cross multiply
    27,522.60x = 41,235.30 × 22,565.40
  4. Step 4: Simplify right side
    27,522.60x = 930,491,038.62
  5. Step 5: Solve for x
    x = 930,491,038.62/27,522.60
  6. Step 6: Final answer
    x = 33,808.25

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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.