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Finding the Fourth Proportional to 83,506.51, 125,228.67 and 33,569.80

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Solution

The fourth proportional to 83,506.51, 125,228.67 and 33,569.80 is: 50,342.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,506.51 : 125,228.67 = 33,569.80 : x
  2. Step 2: Convert to fraction form
    83,506.51/125,228.67 = 33,569.80/x
  3. Step 3: Cross multiply
    83,506.51x = 125,228.67 × 33,569.80
  4. Step 4: Simplify right side
    83,506.51x = 4,203,901,406.17
  5. Step 5: Solve for x
    x = 4,203,901,406.17/83,506.51
  6. Step 6: Final answer
    x = 50,342.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.