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Finding the Fourth Proportional to 39,023.22, 53,851.62 and 21,117.84

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Solution

The fourth proportional to 39,023.22, 53,851.62 and 21,117.84 is: 29,142.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,023.22 : 53,851.62 = 21,117.84 : x
  2. Step 2: Convert to fraction form
    39,023.22/53,851.62 = 21,117.84/x
  3. Step 3: Cross multiply
    39,023.22x = 53,851.62 × 21,117.84
  4. Step 4: Simplify right side
    39,023.22x = 1,137,229,894.90
  5. Step 5: Solve for x
    x = 1,137,229,894.90/39,023.22
  6. Step 6: Final answer
    x = 29,142.39

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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.