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Finding the Fourth Proportional to 32,565.41, 48,892.25 and 22,546.10

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Solution

The fourth proportional to 32,565.41, 48,892.25 and 22,546.10 is: 33,849.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,565.41 : 48,892.25 = 22,546.10 : x
  2. Step 2: Convert to fraction form
    32,565.41/48,892.25 = 22,546.10/x
  3. Step 3: Cross multiply
    32,565.41x = 48,892.25 × 22,546.10
  4. Step 4: Simplify right side
    32,565.41x = 1,102,329,444.99
  5. Step 5: Solve for x
    x = 1,102,329,444.99/32,565.41
  6. Step 6: Final answer
    x = 33,849.70

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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.