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Finding the Fourth Proportional to 104,731.96, 144,532.56 and 59,413

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Solution

The fourth proportional to 104,731.96, 144,532.56 and 59,413 is: 81,991.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,731.96 : 144,532.56 = 59,413 : x
  2. Step 2: Convert to fraction form
    104,731.96/144,532.56 = 59,413/x
  3. Step 3: Cross multiply
    104,731.96x = 144,532.56 × 59,413
  4. Step 4: Simplify right side
    104,731.96x = 8,587,112,987.28
  5. Step 5: Solve for x
    x = 8,587,112,987.28/104,731.96
  6. Step 6: Final answer
    x = 81,991.33

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