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Finding the Fourth Proportional to 32,022.53, 48,033.77 and 8,648.94

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Solution

The fourth proportional to 32,022.53, 48,033.77 and 8,648.94 is: 12,973.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,022.53 : 48,033.77 = 8,648.94 : x
  2. Step 2: Convert to fraction form
    32,022.53/48,033.77 = 8,648.94/x
  3. Step 3: Cross multiply
    32,022.53x = 48,033.77 × 8,648.94
  4. Step 4: Simplify right side
    32,022.53x = 415,441,151.46
  5. Step 5: Solve for x
    x = 415,441,151.46/32,022.53
  6. Step 6: Final answer
    x = 12,973.40

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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.