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Finding the Fourth Proportional to 39,069, 53,922.51 and 22,302

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Solution

The fourth proportional to 39,069, 53,922.51 and 22,302 is: 30,780.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,069 : 53,922.51 = 22,302 : x
  2. Step 2: Convert to fraction form
    39,069/53,922.51 = 22,302/x
  3. Step 3: Cross multiply
    39,069x = 53,922.51 × 22,302
  4. Step 4: Simplify right side
    39,069x = 1,202,579,818.02
  5. Step 5: Solve for x
    x = 1,202,579,818.02/39,069
  6. Step 6: Final answer
    x = 30,780.92

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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.