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Finding the Fourth Proportional to 65,126.26, 97,706.85 and 27,688.06

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Solution

The fourth proportional to 65,126.26, 97,706.85 and 27,688.06 is: 41,539.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,126.26 : 97,706.85 = 27,688.06 : x
  2. Step 2: Convert to fraction form
    65,126.26/97,706.85 = 27,688.06/x
  3. Step 3: Cross multiply
    65,126.26x = 97,706.85 × 27,688.06
  4. Step 4: Simplify right side
    65,126.26x = 2,705,313,125.21
  5. Step 5: Solve for x
    x = 2,705,313,125.21/65,126.26
  6. Step 6: Final answer
    x = 41,539.51

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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.