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Finding the Fourth Proportional to 38,090.25, 57,135.51 and 10,388.25

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Solution

The fourth proportional to 38,090.25, 57,135.51 and 10,388.25 is: 15,582.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,090.25 : 57,135.51 = 10,388.25 : x
  2. Step 2: Convert to fraction form
    38,090.25/57,135.51 = 10,388.25/x
  3. Step 3: Cross multiply
    38,090.25x = 57,135.51 × 10,388.25
  4. Step 4: Simplify right side
    38,090.25x = 593,537,961.76
  5. Step 5: Solve for x
    x = 593,537,961.76/38,090.25
  6. Step 6: Final answer
    x = 15,582.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.