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Finding the Fourth Proportional to 30,324.41, 45,492.54 and 9,265.42

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Solution

The fourth proportional to 30,324.41, 45,492.54 and 9,265.42 is: 13,899.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,324.41 : 45,492.54 = 9,265.42 : x
  2. Step 2: Convert to fraction form
    30,324.41/45,492.54 = 9,265.42/x
  3. Step 3: Cross multiply
    30,324.41x = 45,492.54 × 9,265.42
  4. Step 4: Simplify right side
    30,324.41x = 421,507,512.09
  5. Step 5: Solve for x
    x = 421,507,512.09/30,324.41
  6. Step 6: Final answer
    x = 13,899.94

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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.