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Finding the Fourth Proportional to 32,022.16, 48,033.12 and 8,646.88

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Solution

The fourth proportional to 32,022.16, 48,033.12 and 8,646.88 is: 12,970.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,022.16 : 48,033.12 = 8,646.88 : x
  2. Step 2: Convert to fraction form
    32,022.16/48,033.12 = 8,646.88/x
  3. Step 3: Cross multiply
    32,022.16x = 48,033.12 × 8,646.88
  4. Step 4: Simplify right side
    32,022.16x = 415,336,624.67
  5. Step 5: Solve for x
    x = 415,336,624.67/32,022.16
  6. Step 6: Final answer
    x = 12,970.29

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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.