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Finding the Fourth Proportional to 34,651.84, 51,969.81 and 9,693.65

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Solution

The fourth proportional to 34,651.84, 51,969.81 and 9,693.65 is: 14,538.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,651.84 : 51,969.81 = 9,693.65 : x
  2. Step 2: Convert to fraction form
    34,651.84/51,969.81 = 9,693.65/x
  3. Step 3: Cross multiply
    34,651.84x = 51,969.81 × 9,693.65
  4. Step 4: Simplify right side
    34,651.84x = 503,777,148.71
  5. Step 5: Solve for x
    x = 503,777,148.71/34,651.84
  6. Step 6: Final answer
    x = 14,538.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.