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Finding the Fourth Proportional to 30,367.34, 45,533.02 and 10,369.66

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Solution

The fourth proportional to 30,367.34, 45,533.02 and 10,369.66 is: 15,548.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,367.34 : 45,533.02 = 10,369.66 : x
  2. Step 2: Convert to fraction form
    30,367.34/45,533.02 = 10,369.66/x
  3. Step 3: Cross multiply
    30,367.34x = 45,533.02 × 10,369.66
  4. Step 4: Simplify right side
    30,367.34x = 472,161,936.17
  5. Step 5: Solve for x
    x = 472,161,936.17/30,367.34
  6. Step 6: Final answer
    x = 15,548.35

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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.