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Finding the Fourth Proportional to 38,494.75, 53,122.92 and 20,830.75

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Solution

The fourth proportional to 38,494.75, 53,122.92 and 20,830.75 is: 28,746.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,494.75 : 53,122.92 = 20,830.75 : x
  2. Step 2: Convert to fraction form
    38,494.75/53,122.92 = 20,830.75/x
  3. Step 3: Cross multiply
    38,494.75x = 53,122.92 × 20,830.75
  4. Step 4: Simplify right side
    38,494.75x = 1,106,590,161.64
  5. Step 5: Solve for x
    x = 1,106,590,161.64/38,494.75
  6. Step 6: Final answer
    x = 28,746.52

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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.