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Finding the Fourth Proportional to 30,645.25, 42,262.37 and 19,878.91

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Solution

The fourth proportional to 30,645.25, 42,262.37 and 19,878.91 is: 27,414.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,645.25 : 42,262.37 = 19,878.91 : x
  2. Step 2: Convert to fraction form
    30,645.25/42,262.37 = 19,878.91/x
  3. Step 3: Cross multiply
    30,645.25x = 42,262.37 × 19,878.91
  4. Step 4: Simplify right side
    30,645.25x = 840,129,750.22
  5. Step 5: Solve for x
    x = 840,129,750.22/30,645.25
  6. Step 6: Final answer
    x = 27,414.68

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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.