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Finding the Fourth Proportional to 103,683.52, 143,083.24 and 58,971.52

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Solution

The fourth proportional to 103,683.52, 143,083.24 and 58,971.52 is: 81,380.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,683.52 : 143,083.24 = 58,971.52 : x
  2. Step 2: Convert to fraction form
    103,683.52/143,083.24 = 58,971.52/x
  3. Step 3: Cross multiply
    103,683.52x = 143,083.24 × 58,971.52
  4. Step 4: Simplify right side
    103,683.52x = 8,437,836,149.32
  5. Step 5: Solve for x
    x = 8,437,836,149.32/103,683.52
  6. Step 6: Final answer
    x = 81,380.69

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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.