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Finding the Fourth Proportional to 65,085.32, 97,627.94 and 33,981.32

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Solution

The fourth proportional to 65,085.32, 97,627.94 and 33,981.32 is: 50,971.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,085.32 : 97,627.94 = 33,981.32 : x
  2. Step 2: Convert to fraction form
    65,085.32/97,627.94 = 33,981.32/x
  3. Step 3: Cross multiply
    65,085.32x = 97,627.94 × 33,981.32
  4. Step 4: Simplify right side
    65,085.32x = 3,317,526,270.08
  5. Step 5: Solve for x
    x = 3,317,526,270.08/65,085.32
  6. Step 6: Final answer
    x = 50,971.96

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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.