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Finding the Fourth Proportional to 30,122.44, 45,175.74 and 9,056.84

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Solution

The fourth proportional to 30,122.44, 45,175.74 and 9,056.84 is: 13,582.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,122.44 : 45,175.74 = 9,056.84 : x
  2. Step 2: Convert to fraction form
    30,122.44/45,175.74 = 9,056.84/x
  3. Step 3: Cross multiply
    30,122.44x = 45,175.74 × 9,056.84
  4. Step 4: Simplify right side
    30,122.44x = 409,149,449.06
  5. Step 5: Solve for x
    x = 409,149,449.06/30,122.44
  6. Step 6: Final answer
    x = 13,582.88

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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.