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Finding the Fourth Proportional to 32,945.91, 49,413.48 and 9,255.06

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Solution

The fourth proportional to 32,945.91, 49,413.48 and 9,255.06 is: 13,881.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,945.91 : 49,413.48 = 9,255.06 : x
  2. Step 2: Convert to fraction form
    32,945.91/49,413.48 = 9,255.06/x
  3. Step 3: Cross multiply
    32,945.91x = 49,413.48 × 9,255.06
  4. Step 4: Simplify right side
    32,945.91x = 457,324,722.21
  5. Step 5: Solve for x
    x = 457,324,722.21/32,945.91
  6. Step 6: Final answer
    x = 13,881.08

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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.