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Finding the Fourth Proportional to 65,085.93, 97,628.90 and 33,981.93

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Solution

The fourth proportional to 65,085.93, 97,628.90 and 33,981.93 is: 50,972.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,085.93 : 97,628.90 = 33,981.93 : x
  2. Step 2: Convert to fraction form
    65,085.93/97,628.90 = 33,981.93/x
  3. Step 3: Cross multiply
    65,085.93x = 97,628.90 × 33,981.93
  4. Step 4: Simplify right side
    65,085.93x = 3,317,618,275.87
  5. Step 5: Solve for x
    x = 3,317,618,275.87/65,085.93
  6. Step 6: Final answer
    x = 50,972.90

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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.