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Finding the Fourth Proportional to 34,651.51, 51,969.63 and 9,684.85

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Solution

The fourth proportional to 34,651.51, 51,969.63 and 9,684.85 is: 14,525.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,651.51 : 51,969.63 = 9,684.85 : x
  2. Step 2: Convert to fraction form
    34,651.51/51,969.63 = 9,684.85/x
  3. Step 3: Cross multiply
    34,651.51x = 51,969.63 × 9,684.85
  4. Step 4: Simplify right side
    34,651.51x = 503,318,071.11
  5. Step 5: Solve for x
    x = 503,318,071.11/34,651.51
  6. Step 6: Final answer
    x = 14,525.14

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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.