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Finding the Fourth Proportional to 30,934.99, 46,369.94 and 19,698.87

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Solution

The fourth proportional to 30,934.99, 46,369.94 and 19,698.87 is: 29,527.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,934.99 : 46,369.94 = 19,698.87 : x
  2. Step 2: Convert to fraction form
    30,934.99/46,369.94 = 19,698.87/x
  3. Step 3: Cross multiply
    30,934.99x = 46,369.94 × 19,698.87
  4. Step 4: Simplify right side
    30,934.99x = 913,435,495.36
  5. Step 5: Solve for x
    x = 913,435,495.36/30,934.99
  6. Step 6: Final answer
    x = 29,527.58

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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.