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Finding the Fourth Proportional to 32,842.44, 49,270.57 and 10,654.08

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Solution

The fourth proportional to 32,842.44, 49,270.57 and 10,654.08 is: 15,983.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,842.44 : 49,270.57 = 10,654.08 : x
  2. Step 2: Convert to fraction form
    32,842.44/49,270.57 = 10,654.08/x
  3. Step 3: Cross multiply
    32,842.44x = 49,270.57 × 10,654.08
  4. Step 4: Simplify right side
    32,842.44x = 524,932,546.15
  5. Step 5: Solve for x
    x = 524,932,546.15/32,842.44
  6. Step 6: Final answer
    x = 15,983.36

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.