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Finding the Fourth Proportional to 39,590, 54,632.60 and 23,683.24

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Solution

The fourth proportional to 39,590, 54,632.60 and 23,683.24 is: 32,681.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,590 : 54,632.60 = 23,683.24 : x
  2. Step 2: Convert to fraction form
    39,590/54,632.60 = 23,683.24/x
  3. Step 3: Cross multiply
    39,590x = 54,632.60 × 23,683.24
  4. Step 4: Simplify right side
    39,590x = 1,293,876,977.62
  5. Step 5: Solve for x
    x = 1,293,876,977.62/39,590
  6. Step 6: Final answer
    x = 32,681.91

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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.