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Finding the Fourth Proportional to 38,828.52, 53,512.28 and 28,199.68

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Solution

The fourth proportional to 38,828.52, 53,512.28 and 28,199.68 is: 38,863.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,828.52 : 53,512.28 = 28,199.68 : x
  2. Step 2: Convert to fraction form
    38,828.52/53,512.28 = 28,199.68/x
  3. Step 3: Cross multiply
    38,828.52x = 53,512.28 × 28,199.68
  4. Step 4: Simplify right side
    38,828.52x = 1,509,029,172.07
  5. Step 5: Solve for x
    x = 1,509,029,172.07/38,828.52
  6. Step 6: Final answer
    x = 38,863.94

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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.