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Finding the Fourth Proportional to 34,030.86, 46,945.32 and 22,100.82

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Solution

The fourth proportional to 34,030.86, 46,945.32 and 22,100.82 is: 30,487.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,030.86 : 46,945.32 = 22,100.82 : x
  2. Step 2: Convert to fraction form
    34,030.86/46,945.32 = 22,100.82/x
  3. Step 3: Cross multiply
    34,030.86x = 46,945.32 × 22,100.82
  4. Step 4: Simplify right side
    34,030.86x = 1,037,530,067.16
  5. Step 5: Solve for x
    x = 1,037,530,067.16/34,030.86
  6. Step 6: Final answer
    x = 30,487.92

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.