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Finding the Fourth Proportional to 38,498.48, 53,128.68 and 21,728.24

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Solution

The fourth proportional to 38,498.48, 53,128.68 and 21,728.24 is: 29,985.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,498.48 : 53,128.68 = 21,728.24 : x
  2. Step 2: Convert to fraction form
    38,498.48/53,128.68 = 21,728.24/x
  3. Step 3: Cross multiply
    38,498.48x = 53,128.68 × 21,728.24
  4. Step 4: Simplify right side
    38,498.48x = 1,154,392,709.92
  5. Step 5: Solve for x
    x = 1,154,392,709.92/38,498.48
  6. Step 6: Final answer
    x = 29,985.41

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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.