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Finding the Fourth Proportional to 38,925, 53,716.50 and 22,161.24

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Solution

The fourth proportional to 38,925, 53,716.50 and 22,161.24 is: 30,582.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,925 : 53,716.50 = 22,161.24 : x
  2. Step 2: Convert to fraction form
    38,925/53,716.50 = 22,161.24/x
  3. Step 3: Cross multiply
    38,925x = 53,716.50 × 22,161.24
  4. Step 4: Simplify right side
    38,925x = 1,190,424,248.46
  5. Step 5: Solve for x
    x = 1,190,424,248.46/38,925
  6. Step 6: Final answer
    x = 30,582.51

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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.