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Finding the Fourth Proportional to 41,392.16, 57,117.84 and 28,844

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Solution

The fourth proportional to 41,392.16, 57,117.84 and 28,844 is: 39,802.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,392.16 : 57,117.84 = 28,844 : x
  2. Step 2: Convert to fraction form
    41,392.16/57,117.84 = 28,844/x
  3. Step 3: Cross multiply
    41,392.16x = 57,117.84 × 28,844
  4. Step 4: Simplify right side
    41,392.16x = 1,647,506,976.96
  5. Step 5: Solve for x
    x = 1,647,506,976.96/41,392.16
  6. Step 6: Final answer
    x = 39,802.39

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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.