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Finding the Fourth Proportional to 30,704.36, 46,071.09 and 9,927.86

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Solution

The fourth proportional to 30,704.36, 46,071.09 and 9,927.86 is: 14,896.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,704.36 : 46,071.09 = 9,927.86 : x
  2. Step 2: Convert to fraction form
    30,704.36/46,071.09 = 9,927.86/x
  3. Step 3: Cross multiply
    30,704.36x = 46,071.09 × 9,927.86
  4. Step 4: Simplify right side
    30,704.36x = 457,387,101.21
  5. Step 5: Solve for x
    x = 457,387,101.21/30,704.36
  6. Step 6: Final answer
    x = 14,896.49

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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.