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Finding the Fourth Proportional to 98,991.96, 148,451.72 and 35,796.93

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Solution

The fourth proportional to 98,991.96, 148,451.72 and 35,796.93 is: 53,682.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,991.96 : 148,451.72 = 35,796.93 : x
  2. Step 2: Convert to fraction form
    98,991.96/148,451.72 = 35,796.93/x
  3. Step 3: Cross multiply
    98,991.96x = 148,451.72 × 35,796.93
  4. Step 4: Simplify right side
    98,991.96x = 5,314,115,829.22
  5. Step 5: Solve for x
    x = 5,314,115,829.22/98,991.96
  6. Step 6: Final answer
    x = 53,682.30

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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.