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Finding the Fourth Proportional to 38,609.76, 53,282.16 and 21,846.24

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Solution

The fourth proportional to 38,609.76, 53,282.16 and 21,846.24 is: 30,148.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,609.76 : 53,282.16 = 21,846.24 : x
  2. Step 2: Convert to fraction form
    38,609.76/53,282.16 = 21,846.24/x
  3. Step 3: Cross multiply
    38,609.76x = 53,282.16 × 21,846.24
  4. Step 4: Simplify right side
    38,609.76x = 1,164,014,855.08
  5. Step 5: Solve for x
    x = 1,164,014,855.08/38,609.76
  6. Step 6: Final answer
    x = 30,148.20

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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.