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Finding the Fourth Proportional to 30,461.22, 45,693.02 and 9,399.38

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Solution

The fourth proportional to 30,461.22, 45,693.02 and 9,399.38 is: 14,099.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,461.22 : 45,693.02 = 9,399.38 : x
  2. Step 2: Convert to fraction form
    30,461.22/45,693.02 = 9,399.38/x
  3. Step 3: Cross multiply
    30,461.22x = 45,693.02 × 9,399.38
  4. Step 4: Simplify right side
    30,461.22x = 429,486,196.06
  5. Step 5: Solve for x
    x = 429,486,196.06/30,461.22
  6. Step 6: Final answer
    x = 14,099.44

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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.