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Finding the Fourth Proportional to 31,055.58, 46,569.08 and 9,991.73

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Solution

The fourth proportional to 31,055.58, 46,569.08 and 9,991.73 is: 14,982.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,055.58 : 46,569.08 = 9,991.73 : x
  2. Step 2: Convert to fraction form
    31,055.58/46,569.08 = 9,991.73/x
  3. Step 3: Cross multiply
    31,055.58x = 46,569.08 × 9,991.73
  4. Step 4: Simplify right side
    31,055.58x = 465,305,390.90
  5. Step 5: Solve for x
    x = 465,305,390.90/31,055.58
  6. Step 6: Final answer
    x = 14,982.99

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1.5x scale

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.