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Finding the Fourth Proportional to 30,852.38, 42,535.08 and 23,163.09

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Solution

The fourth proportional to 30,852.38, 42,535.08 and 23,163.09 is: 31,934.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,852.38 : 42,535.08 = 23,163.09 : x
  2. Step 2: Convert to fraction form
    30,852.38/42,535.08 = 23,163.09/x
  3. Step 3: Cross multiply
    30,852.38x = 42,535.08 × 23,163.09
  4. Step 4: Simplify right side
    30,852.38x = 985,243,886.20
  5. Step 5: Solve for x
    x = 985,243,886.20/30,852.38
  6. Step 6: Final answer
    x = 31,934.13

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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.