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Finding the Fourth Proportional to 30,324, 41,847.39 and 17,749.02

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Solution

The fourth proportional to 30,324, 41,847.39 and 17,749.02 is: 24,493.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,324 : 41,847.39 = 17,749.02 : x
  2. Step 2: Convert to fraction form
    30,324/41,847.39 = 17,749.02/x
  3. Step 3: Cross multiply
    30,324x = 41,847.39 × 17,749.02
  4. Step 4: Simplify right side
    30,324x = 742,750,162.06
  5. Step 5: Solve for x
    x = 742,750,162.06/30,324
  6. Step 6: Final answer
    x = 24,493.81

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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.