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Finding the Fourth Proportional to 65,230.34, 97,882.43 and 27,786.51

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Solution

The fourth proportional to 65,230.34, 97,882.43 and 27,786.51 is: 41,695.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,230.34 : 97,882.43 = 27,786.51 : x
  2. Step 2: Convert to fraction form
    65,230.34/97,882.43 = 27,786.51/x
  3. Step 3: Cross multiply
    65,230.34x = 97,882.43 × 27,786.51
  4. Step 4: Simplify right side
    65,230.34x = 2,719,810,981.09
  5. Step 5: Solve for x
    x = 2,719,810,981.09/65,230.34
  6. Step 6: Final answer
    x = 41,695.49

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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.