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Finding the Fourth Proportional to 30,412.02, 45,618.84 and 9,635.52

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Solution

The fourth proportional to 30,412.02, 45,618.84 and 9,635.52 is: 14,453.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,412.02 : 45,618.84 = 9,635.52 : x
  2. Step 2: Convert to fraction form
    30,412.02/45,618.84 = 9,635.52/x
  3. Step 3: Cross multiply
    30,412.02x = 45,618.84 × 9,635.52
  4. Step 4: Simplify right side
    30,412.02x = 439,561,245.20
  5. Step 5: Solve for x
    x = 439,561,245.20/30,412.02
  6. Step 6: Final answer
    x = 14,453.54

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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.