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Finding the Fourth Proportional to 38,314.64, 52,872.30 and 21,319.88

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Solution

The fourth proportional to 38,314.64, 52,872.30 and 21,319.88 is: 29,420.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,314.64 : 52,872.30 = 21,319.88 : x
  2. Step 2: Convert to fraction form
    38,314.64/52,872.30 = 21,319.88/x
  3. Step 3: Cross multiply
    38,314.64x = 52,872.30 × 21,319.88
  4. Step 4: Simplify right side
    38,314.64x = 1,127,231,091.32
  5. Step 5: Solve for x
    x = 1,127,231,091.32/38,314.64
  6. Step 6: Final answer
    x = 29,420.38

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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.