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Finding the Fourth Proportional to 39,107.51, 53,967.66 and 22,111.46

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Solution

The fourth proportional to 39,107.51, 53,967.66 and 22,111.46 is: 30,513.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,107.51 : 53,967.66 = 22,111.46 : x
  2. Step 2: Convert to fraction form
    39,107.51/53,967.66 = 22,111.46/x
  3. Step 3: Cross multiply
    39,107.51x = 53,967.66 × 22,111.46
  4. Step 4: Simplify right side
    39,107.51x = 1,193,303,755.38
  5. Step 5: Solve for x
    x = 1,193,303,755.38/39,107.51
  6. Step 6: Final answer
    x = 30,513.42

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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.