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Finding the Fourth Proportional to 38,925, 53,716.68 and 22,158

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Solution

The fourth proportional to 38,925, 53,716.68 and 22,158 is: 30,578.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,925 : 53,716.68 = 22,158 : x
  2. Step 2: Convert to fraction form
    38,925/53,716.68 = 22,158/x
  3. Step 3: Cross multiply
    38,925x = 53,716.68 × 22,158
  4. Step 4: Simplify right side
    38,925x = 1,190,254,195.44
  5. Step 5: Solve for x
    x = 1,190,254,195.44/38,925
  6. Step 6: Final answer
    x = 30,578.14

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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.