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Finding the Fourth Proportional to 32,678.64, 49,016.34 and 10,493.10

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Solution

The fourth proportional to 32,678.64, 49,016.34 and 10,493.10 is: 15,739.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,678.64 : 49,016.34 = 10,493.10 : x
  2. Step 2: Convert to fraction form
    32,678.64/49,016.34 = 10,493.10/x
  3. Step 3: Cross multiply
    32,678.64x = 49,016.34 × 10,493.10
  4. Step 4: Simplify right side
    32,678.64x = 514,333,357.25
  5. Step 5: Solve for x
    x = 514,333,357.25/32,678.64
  6. Step 6: Final answer
    x = 15,739.13

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