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Finding the Fourth Proportional to 30,201.60, 45,284.67 and 9,135.30

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Solution

The fourth proportional to 30,201.60, 45,284.67 and 9,135.30 is: 13,697.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,201.60 : 45,284.67 = 9,135.30 : x
  2. Step 2: Convert to fraction form
    30,201.60/45,284.67 = 9,135.30/x
  3. Step 3: Cross multiply
    30,201.60x = 45,284.67 × 9,135.30
  4. Step 4: Simplify right side
    30,201.60x = 413,689,045.85
  5. Step 5: Solve for x
    x = 413,689,045.85/30,201.60
  6. Step 6: Final answer
    x = 13,697.59

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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.