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Finding the Fourth Proportional to 38,838, 53,600.85 and 21,612.09

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Solution

The fourth proportional to 38,838, 53,600.85 and 21,612.09 is: 29,827.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,838 : 53,600.85 = 21,612.09 : x
  2. Step 2: Convert to fraction form
    38,838/53,600.85 = 21,612.09/x
  3. Step 3: Cross multiply
    38,838x = 53,600.85 × 21,612.09
  4. Step 4: Simplify right side
    38,838x = 1,158,426,394.28
  5. Step 5: Solve for x
    x = 1,158,426,394.28/38,838
  6. Step 6: Final answer
    x = 29,827.14

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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.