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Finding the Fourth Proportional to 30,493.19, 45,728.42 and 10,497.09

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Solution

The fourth proportional to 30,493.19, 45,728.42 and 10,497.09 is: 15,741.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,493.19 : 45,728.42 = 10,497.09 : x
  2. Step 2: Convert to fraction form
    30,493.19/45,728.42 = 10,497.09/x
  3. Step 3: Cross multiply
    30,493.19x = 45,728.42 × 10,497.09
  4. Step 4: Simplify right side
    30,493.19x = 480,015,459.29
  5. Step 5: Solve for x
    x = 480,015,459.29/30,493.19
  6. Step 6: Final answer
    x = 15,741.73

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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.