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Finding the Fourth Proportional to 39,109.26, 53,978.22 and 23,202.48

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Solution

The fourth proportional to 39,109.26, 53,978.22 and 23,202.48 is: 32,023.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,109.26 : 53,978.22 = 23,202.48 : x
  2. Step 2: Convert to fraction form
    39,109.26/53,978.22 = 23,202.48/x
  3. Step 3: Cross multiply
    39,109.26x = 53,978.22 × 23,202.48
  4. Step 4: Simplify right side
    39,109.26x = 1,252,428,569.99
  5. Step 5: Solve for x
    x = 1,252,428,569.99/39,109.26
  6. Step 6: Final answer
    x = 32,023.84

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1.5x scale

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.