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Finding the Fourth Proportional to 38,648.34, 53,322.60 and 21,650.29

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Solution

The fourth proportional to 38,648.34, 53,322.60 and 21,650.29 is: 29,870.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,648.34 : 53,322.60 = 21,650.29 : x
  2. Step 2: Convert to fraction form
    38,648.34/53,322.60 = 21,650.29/x
  3. Step 3: Cross multiply
    38,648.34x = 53,322.60 × 21,650.29
  4. Step 4: Simplify right side
    38,648.34x = 1,154,449,701.44
  5. Step 5: Solve for x
    x = 1,154,449,701.44/38,648.34
  6. Step 6: Final answer
    x = 29,870.62

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.