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Finding the Fourth Proportional to 103,906.48, 143,388.06 and 58,584.06

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Solution

The fourth proportional to 103,906.48, 143,388.06 and 58,584.06 is: 80,844.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,906.48 : 143,388.06 = 58,584.06 : x
  2. Step 2: Convert to fraction form
    103,906.48/143,388.06 = 58,584.06/x
  3. Step 3: Cross multiply
    103,906.48x = 143,388.06 × 58,584.06
  4. Step 4: Simplify right side
    103,906.48x = 8,400,254,710.32
  5. Step 5: Solve for x
    x = 8,400,254,710.32/103,906.48
  6. Step 6: Final answer
    x = 80,844.38

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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.