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Finding the Fourth Proportional to 39,626.88, 54,685.71 and 23,712

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Solution

The fourth proportional to 39,626.88, 54,685.71 and 23,712 is: 32,722.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,626.88 : 54,685.71 = 23,712 : x
  2. Step 2: Convert to fraction form
    39,626.88/54,685.71 = 23,712/x
  3. Step 3: Cross multiply
    39,626.88x = 54,685.71 × 23,712
  4. Step 4: Simplify right side
    39,626.88x = 1,296,707,555.52
  5. Step 5: Solve for x
    x = 1,296,707,555.52/39,626.88
  6. Step 6: Final answer
    x = 32,722.93

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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.