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Finding the Fourth Proportional to 31,122.57, 46,683.87 and 7,749.01

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Solution

The fourth proportional to 31,122.57, 46,683.87 and 7,749.01 is: 11,623.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,122.57 : 46,683.87 = 7,749.01 : x
  2. Step 2: Convert to fraction form
    31,122.57/46,683.87 = 7,749.01/x
  3. Step 3: Cross multiply
    31,122.57x = 46,683.87 × 7,749.01
  4. Step 4: Simplify right side
    31,122.57x = 361,753,775.47
  5. Step 5: Solve for x
    x = 361,753,775.47/31,122.57
  6. Step 6: Final answer
    x = 11,623.52

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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.