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Finding the Fourth Proportional to 30,242.34, 45,364.16 and 11,007.44

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Solution

The fourth proportional to 30,242.34, 45,364.16 and 11,007.44 is: 16,511.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,242.34 : 45,364.16 = 11,007.44 : x
  2. Step 2: Convert to fraction form
    30,242.34/45,364.16 = 11,007.44/x
  3. Step 3: Cross multiply
    30,242.34x = 45,364.16 × 11,007.44
  4. Step 4: Simplify right side
    30,242.34x = 499,343,269.35
  5. Step 5: Solve for x
    x = 499,343,269.35/30,242.34
  6. Step 6: Final answer
    x = 16,511.40

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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.