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Finding the Fourth Proportional to 32,946.91, 49,420.47 and 7,986.86

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Solution

The fourth proportional to 32,946.91, 49,420.47 and 7,986.86 is: 11,980.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,946.91 : 49,420.47 = 7,986.86 : x
  2. Step 2: Convert to fraction form
    32,946.91/49,420.47 = 7,986.86/x
  3. Step 3: Cross multiply
    32,946.91x = 49,420.47 × 7,986.86
  4. Step 4: Simplify right side
    32,946.91x = 394,714,335.09
  5. Step 5: Solve for x
    x = 394,714,335.09/32,946.91
  6. Step 6: Final answer
    x = 11,980.31

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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.