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Finding the Fourth Proportional to 34,424.56, 51,636.20 and 9,464.50

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Solution

The fourth proportional to 34,424.56, 51,636.20 and 9,464.50 is: 14,196.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,424.56 : 51,636.20 = 9,464.50 : x
  2. Step 2: Convert to fraction form
    34,424.56/51,636.20 = 9,464.50/x
  3. Step 3: Cross multiply
    34,424.56x = 51,636.20 × 9,464.50
  4. Step 4: Simplify right side
    34,424.56x = 488,710,814.90
  5. Step 5: Solve for x
    x = 488,710,814.90/34,424.56
  6. Step 6: Final answer
    x = 14,196.57

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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.