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Finding the Fourth Proportional to 31,021.50, 46,509.56 and 9,949.54

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Solution

The fourth proportional to 31,021.50, 46,509.56 and 9,949.54 is: 14,917.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,021.50 : 46,509.56 = 9,949.54 : x
  2. Step 2: Convert to fraction form
    31,021.50/46,509.56 = 9,949.54/x
  3. Step 3: Cross multiply
    31,021.50x = 46,509.56 × 9,949.54
  4. Step 4: Simplify right side
    31,021.50x = 462,748,727.60
  5. Step 5: Solve for x
    x = 462,748,727.60/31,021.50
  6. Step 6: Final answer
    x = 14,917.03

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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.