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Finding the Fourth Proportional to 30,928.77, 46,396.53 and 9,863.91

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Solution

The fourth proportional to 30,928.77, 46,396.53 and 9,863.91 is: 14,796.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,928.77 : 46,396.53 = 9,863.91 : x
  2. Step 2: Convert to fraction form
    30,928.77/46,396.53 = 9,863.91/x
  3. Step 3: Cross multiply
    30,928.77x = 46,396.53 × 9,863.91
  4. Step 4: Simplify right side
    30,928.77x = 457,651,196.23
  5. Step 5: Solve for x
    x = 457,651,196.23/30,928.77
  6. Step 6: Final answer
    x = 14,796.94

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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.