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Finding the Fourth Proportional to 77,892.96, 116,792.73 and 35,720.22

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Solution

The fourth proportional to 77,892.96, 116,792.73 and 35,720.22 is: 53,558.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,892.96 : 116,792.73 = 35,720.22 : x
  2. Step 2: Convert to fraction form
    77,892.96/116,792.73 = 35,720.22/x
  3. Step 3: Cross multiply
    77,892.96x = 116,792.73 × 35,720.22
  4. Step 4: Simplify right side
    77,892.96x = 4,171,862,010.00
  5. Step 5: Solve for x
    x = 4,171,862,010.00/77,892.96
  6. Step 6: Final answer
    x = 53,558.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.