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Finding the Fourth Proportional to 30,818.34, 46,234.48 and 11,097

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Solution

The fourth proportional to 30,818.34, 46,234.48 and 11,097 is: 16,648.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,818.34 : 46,234.48 = 11,097 : x
  2. Step 2: Convert to fraction form
    30,818.34/46,234.48 = 11,097/x
  3. Step 3: Cross multiply
    30,818.34x = 46,234.48 × 11,097
  4. Step 4: Simplify right side
    30,818.34x = 513,064,024.56
  5. Step 5: Solve for x
    x = 513,064,024.56/30,818.34
  6. Step 6: Final answer
    x = 16,648.01

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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.