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Finding the Fourth Proportional to 32,990.78, 49,485.47 and 8,030.96

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Solution

The fourth proportional to 32,990.78, 49,485.47 and 8,030.96 is: 12,046.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,990.78 : 49,485.47 = 8,030.96 : x
  2. Step 2: Convert to fraction form
    32,990.78/49,485.47 = 8,030.96/x
  3. Step 3: Cross multiply
    32,990.78x = 49,485.47 × 8,030.96
  4. Step 4: Simplify right side
    32,990.78x = 397,415,542.57
  5. Step 5: Solve for x
    x = 397,415,542.57/32,990.78
  6. Step 6: Final answer
    x = 12,046.26

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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.