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Finding the Fourth Proportional to 32,646.26, 48,969.40 and 8,022.26

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Solution

The fourth proportional to 32,646.26, 48,969.40 and 8,022.26 is: 12,033.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,646.26 : 48,969.40 = 8,022.26 : x
  2. Step 2: Convert to fraction form
    32,646.26/48,969.40 = 8,022.26/x
  3. Step 3: Cross multiply
    32,646.26x = 48,969.40 × 8,022.26
  4. Step 4: Simplify right side
    32,646.26x = 392,845,258.84
  5. Step 5: Solve for x
    x = 392,845,258.84/32,646.26
  6. Step 6: Final answer
    x = 12,033.39

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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.