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Finding the Fourth Proportional to 30,500.76, 45,754.83 and 10,775.28

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Solution

The fourth proportional to 30,500.76, 45,754.83 and 10,775.28 is: 16,164.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,500.76 : 45,754.83 = 10,775.28 : x
  2. Step 2: Convert to fraction form
    30,500.76/45,754.83 = 10,775.28/x
  3. Step 3: Cross multiply
    30,500.76x = 45,754.83 × 10,775.28
  4. Step 4: Simplify right side
    30,500.76x = 493,020,963.28
  5. Step 5: Solve for x
    x = 493,020,963.28/30,500.76
  6. Step 6: Final answer
    x = 16,164.22

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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.