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Finding the Fourth Proportional to 77,626.48, 116,342.28 and 33,201

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Solution

The fourth proportional to 77,626.48, 116,342.28 and 33,201 is: 49,759.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,626.48 : 116,342.28 = 33,201 : x
  2. Step 2: Convert to fraction form
    77,626.48/116,342.28 = 33,201/x
  3. Step 3: Cross multiply
    77,626.48x = 116,342.28 × 33,201
  4. Step 4: Simplify right side
    77,626.48x = 3,862,680,038.28
  5. Step 5: Solve for x
    x = 3,862,680,038.28/77,626.48
  6. Step 6: Final answer
    x = 49,759.82

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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.