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Finding the Fourth Proportional to 32,678.25, 49,017.38 and 8,054.25

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Solution

The fourth proportional to 32,678.25, 49,017.38 and 8,054.25 is: 12,081.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,678.25 : 49,017.38 = 8,054.25 : x
  2. Step 2: Convert to fraction form
    32,678.25/49,017.38 = 8,054.25/x
  3. Step 3: Cross multiply
    32,678.25x = 49,017.38 × 8,054.25
  4. Step 4: Simplify right side
    32,678.25x = 394,798,232.87
  5. Step 5: Solve for x
    x = 394,798,232.87/32,678.25
  6. Step 6: Final answer
    x = 12,081.38

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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.