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Finding the Fourth Proportional to 29,384.80, 43,976.40 and 17,706.40

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Solution

The fourth proportional to 29,384.80, 43,976.40 and 17,706.40 is: 26,498.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,384.80 : 43,976.40 = 17,706.40 : x
  2. Step 2: Convert to fraction form
    29,384.80/43,976.40 = 17,706.40/x
  3. Step 3: Cross multiply
    29,384.80x = 43,976.40 × 17,706.40
  4. Step 4: Simplify right side
    29,384.80x = 778,663,728.96
  5. Step 5: Solve for x
    x = 778,663,728.96/29,384.80
  6. Step 6: Final answer
    x = 26,498.86

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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.