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Finding the Fourth Proportional to 30,143.56, 45,221.55 and 10,419.52

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Solution

The fourth proportional to 30,143.56, 45,221.55 and 10,419.52 is: 15,631.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,143.56 : 45,221.55 = 10,419.52 : x
  2. Step 2: Convert to fraction form
    30,143.56/45,221.55 = 10,419.52/x
  3. Step 3: Cross multiply
    30,143.56x = 45,221.55 × 10,419.52
  4. Step 4: Simplify right side
    30,143.56x = 471,186,844.66
  5. Step 5: Solve for x
    x = 471,186,844.66/30,143.56
  6. Step 6: Final answer
    x = 15,631.43

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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.