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Finding the Fourth Proportional to 34,853.48, 48,101.94 and 20,706.38

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Solution

The fourth proportional to 34,853.48, 48,101.94 and 20,706.38 is: 28,577.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,853.48 : 48,101.94 = 20,706.38 : x
  2. Step 2: Convert to fraction form
    34,853.48/48,101.94 = 20,706.38/x
  3. Step 3: Cross multiply
    34,853.48x = 48,101.94 × 20,706.38
  4. Step 4: Simplify right side
    34,853.48x = 996,016,807.87
  5. Step 5: Solve for x
    x = 996,016,807.87/34,853.48
  6. Step 6: Final answer
    x = 28,577.26

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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.