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Finding the Fourth Proportional to 30,417.58, 41,961.68 and 19,081.38

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Solution

The fourth proportional to 30,417.58, 41,961.68 and 19,081.38 is: 26,323.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,417.58 : 41,961.68 = 19,081.38 : x
  2. Step 2: Convert to fraction form
    30,417.58/41,961.68 = 19,081.38/x
  3. Step 3: Cross multiply
    30,417.58x = 41,961.68 × 19,081.38
  4. Step 4: Simplify right side
    30,417.58x = 800,686,761.52
  5. Step 5: Solve for x
    x = 800,686,761.52/30,417.58
  6. Step 6: Final answer
    x = 26,323.16

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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.