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Finding the Fourth Proportional to 38,054.24, 52,512 and 21,284

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Solution

The fourth proportional to 38,054.24, 52,512 and 21,284 is: 29,370.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,054.24 : 52,512 = 21,284 : x
  2. Step 2: Convert to fraction form
    38,054.24/52,512 = 21,284/x
  3. Step 3: Cross multiply
    38,054.24x = 52,512 × 21,284
  4. Step 4: Simplify right side
    38,054.24x = 1,117,665,408
  5. Step 5: Solve for x
    x = 1,117,665,408/38,054.24
  6. Step 6: Final answer
    x = 29,370.33

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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.