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Finding the Fourth Proportional to 86,032.48, 128,998.50 and 33,380.46

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Solution

The fourth proportional to 86,032.48, 128,998.50 and 33,380.46 is: 50,051.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,032.48 : 128,998.50 = 33,380.46 : x
  2. Step 2: Convert to fraction form
    86,032.48/128,998.50 = 33,380.46/x
  3. Step 3: Cross multiply
    86,032.48x = 128,998.50 × 33,380.46
  4. Step 4: Simplify right side
    86,032.48x = 4,306,029,269.31
  5. Step 5: Solve for x
    x = 4,306,029,269.31/86,032.48
  6. Step 6: Final answer
    x = 50,051.20

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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.