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Finding the Fourth Proportional to 30,891.48, 42,607.70 and 19,562.82

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Solution

The fourth proportional to 30,891.48, 42,607.70 and 19,562.82 is: 26,982.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,891.48 : 42,607.70 = 19,562.82 : x
  2. Step 2: Convert to fraction form
    30,891.48/42,607.70 = 19,562.82/x
  3. Step 3: Cross multiply
    30,891.48x = 42,607.70 × 19,562.82
  4. Step 4: Simplify right side
    30,891.48x = 833,526,765.71
  5. Step 5: Solve for x
    x = 833,526,765.71/30,891.48
  6. Step 6: Final answer
    x = 26,982.42

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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.