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Finding the Fourth Proportional to 30,193.40, 45,296.49 and 9,135.02

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Solution

The fourth proportional to 30,193.40, 45,296.49 and 9,135.02 is: 13,704.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,193.40 : 45,296.49 = 9,135.02 : x
  2. Step 2: Convert to fraction form
    30,193.40/45,296.49 = 9,135.02/x
  3. Step 3: Cross multiply
    30,193.40x = 45,296.49 × 9,135.02
  4. Step 4: Simplify right side
    30,193.40x = 413,784,342.08
  5. Step 5: Solve for x
    x = 413,784,342.08/30,193.40
  6. Step 6: Final answer
    x = 13,704.46

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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.