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Finding the Fourth Proportional to 30,869.65, 46,299.66 and 9,806.93

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Solution

The fourth proportional to 30,869.65, 46,299.66 and 9,806.93 is: 14,708.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,869.65 : 46,299.66 = 9,806.93 : x
  2. Step 2: Convert to fraction form
    30,869.65/46,299.66 = 9,806.93/x
  3. Step 3: Cross multiply
    30,869.65x = 46,299.66 × 9,806.93
  4. Step 4: Simplify right side
    30,869.65x = 454,057,429.99
  5. Step 5: Solve for x
    x = 454,057,429.99/30,869.65
  6. Step 6: Final answer
    x = 14,708.86

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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.