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Finding the Fourth Proportional to 98,095.13, 135,361.92 and 55,064.77

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Solution

The fourth proportional to 98,095.13, 135,361.92 and 55,064.77 is: 75,984.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,095.13 : 135,361.92 = 55,064.77 : x
  2. Step 2: Convert to fraction form
    98,095.13/135,361.92 = 55,064.77/x
  3. Step 3: Cross multiply
    98,095.13x = 135,361.92 × 55,064.77
  4. Step 4: Simplify right side
    98,095.13x = 7,453,672,991.56
  5. Step 5: Solve for x
    x = 7,453,672,991.56/98,095.13
  6. Step 6: Final answer
    x = 75,984.13

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.