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Finding the Fourth Proportional to 32,197.32, 48,293.64 and 8,821.92

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Solution

The fourth proportional to 32,197.32, 48,293.64 and 8,821.92 is: 13,232.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,197.32 : 48,293.64 = 8,821.92 : x
  2. Step 2: Convert to fraction form
    32,197.32/48,293.64 = 8,821.92/x
  3. Step 3: Cross multiply
    32,197.32x = 48,293.64 × 8,821.92
  4. Step 4: Simplify right side
    32,197.32x = 426,042,628.59
  5. Step 5: Solve for x
    x = 426,042,628.59/32,197.32
  6. Step 6: Final answer
    x = 13,232.24

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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.