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Finding the Fourth Proportional to 30,231.90, 45,356.01 and 10,511.55

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Solution

The fourth proportional to 30,231.90, 45,356.01 and 10,511.55 is: 15,770.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,231.90 : 45,356.01 = 10,511.55 : x
  2. Step 2: Convert to fraction form
    30,231.90/45,356.01 = 10,511.55/x
  3. Step 3: Cross multiply
    30,231.90x = 45,356.01 × 10,511.55
  4. Step 4: Simplify right side
    30,231.90x = 476,761,966.92
  5. Step 5: Solve for x
    x = 476,761,966.92/30,231.90
  6. Step 6: Final answer
    x = 15,770.16

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.