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Finding the Fourth Proportional to 45,632.16, 68,465.22 and 27,899.16

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Solution

The fourth proportional to 45,632.16, 68,465.22 and 27,899.16 is: 41,859.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,632.16 : 68,465.22 = 27,899.16 : x
  2. Step 2: Convert to fraction form
    45,632.16/68,465.22 = 27,899.16/x
  3. Step 3: Cross multiply
    45,632.16x = 68,465.22 × 27,899.16
  4. Step 4: Simplify right side
    45,632.16x = 1,910,122,127.22
  5. Step 5: Solve for x
    x = 1,910,122,127.22/45,632.16
  6. Step 6: Final answer
    x = 41,859.12

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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.