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Finding the Fourth Proportional to 30,930.58, 42,719.17 and 20,841.50

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Solution

The fourth proportional to 30,930.58, 42,719.17 and 20,841.50 is: 28,784.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,930.58 : 42,719.17 = 20,841.50 : x
  2. Step 2: Convert to fraction form
    30,930.58/42,719.17 = 20,841.50/x
  3. Step 3: Cross multiply
    30,930.58x = 42,719.17 × 20,841.50
  4. Step 4: Simplify right side
    30,930.58x = 890,331,636.25
  5. Step 5: Solve for x
    x = 890,331,636.25/30,930.58
  6. Step 6: Final answer
    x = 28,784.84

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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.