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Finding the Fourth Proportional to 38,083.86, 57,135.65 and 22,302.23

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Solution

The fourth proportional to 38,083.86, 57,135.65 and 22,302.23 is: 33,459.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,083.86 : 57,135.65 = 22,302.23 : x
  2. Step 2: Convert to fraction form
    38,083.86/57,135.65 = 22,302.23/x
  3. Step 3: Cross multiply
    38,083.86x = 57,135.65 × 22,302.23
  4. Step 4: Simplify right side
    38,083.86x = 1,274,252,407.50
  5. Step 5: Solve for x
    x = 1,274,252,407.50/38,083.86
  6. Step 6: Final answer
    x = 33,459.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.