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Finding the Fourth Proportional to 30,429.70, 45,644.64 and 9,369.60

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Solution

The fourth proportional to 30,429.70, 45,644.64 and 9,369.60 is: 14,054.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,429.70 : 45,644.64 = 9,369.60 : x
  2. Step 2: Convert to fraction form
    30,429.70/45,644.64 = 9,369.60/x
  3. Step 3: Cross multiply
    30,429.70x = 45,644.64 × 9,369.60
  4. Step 4: Simplify right side
    30,429.70x = 427,672,018.94
  5. Step 5: Solve for x
    x = 427,672,018.94/30,429.70
  6. Step 6: Final answer
    x = 14,054.43

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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.