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Finding the Fourth Proportional to 38,469.08, 53,085.28 and 21,701

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Solution

The fourth proportional to 38,469.08, 53,085.28 and 21,701 is: 29,946.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,469.08 : 53,085.28 = 21,701 : x
  2. Step 2: Convert to fraction form
    38,469.08/53,085.28 = 21,701/x
  3. Step 3: Cross multiply
    38,469.08x = 53,085.28 × 21,701
  4. Step 4: Simplify right side
    38,469.08x = 1,152,003,661.28
  5. Step 5: Solve for x
    x = 1,152,003,661.28/38,469.08
  6. Step 6: Final answer
    x = 29,946.22

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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.