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Finding the Fourth Proportional to 30,511.77, 42,125.82 and 20,948.58

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Solution

The fourth proportional to 30,511.77, 42,125.82 and 20,948.58 is: 28,922.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,511.77 : 42,125.82 = 20,948.58 : x
  2. Step 2: Convert to fraction form
    30,511.77/42,125.82 = 20,948.58/x
  3. Step 3: Cross multiply
    30,511.77x = 42,125.82 × 20,948.58
  4. Step 4: Simplify right side
    30,511.77x = 882,476,110.34
  5. Step 5: Solve for x
    x = 882,476,110.34/30,511.77
  6. Step 6: Final answer
    x = 28,922.48

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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.