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Finding the Fourth Proportional to 38,328.96, 52,893.36 and 21,333

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Solution

The fourth proportional to 38,328.96, 52,893.36 and 21,333 is: 29,439.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,328.96 : 52,893.36 = 21,333 : x
  2. Step 2: Convert to fraction form
    38,328.96/52,893.36 = 21,333/x
  3. Step 3: Cross multiply
    38,328.96x = 52,893.36 × 21,333
  4. Step 4: Simplify right side
    38,328.96x = 1,128,374,048.88
  5. Step 5: Solve for x
    x = 1,128,374,048.88/38,328.96
  6. Step 6: Final answer
    x = 29,439.20

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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.