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Finding the Fourth Proportional to 83,706.36, 125,461.10 and 33,719.72

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Solution

The fourth proportional to 83,706.36, 125,461.10 and 33,719.72 is: 50,539.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,706.36 : 125,461.10 = 33,719.72 : x
  2. Step 2: Convert to fraction form
    83,706.36/125,461.10 = 33,719.72/x
  3. Step 3: Cross multiply
    83,706.36x = 125,461.10 × 33,719.72
  4. Step 4: Simplify right side
    83,706.36x = 4,230,513,162.89
  5. Step 5: Solve for x
    x = 4,230,513,162.89/83,706.36
  6. Step 6: Final answer
    x = 50,539.93

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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.