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Finding the Fourth Proportional to 29,281.53, 43,922.12 and 8,221.58

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Solution

The fourth proportional to 29,281.53, 43,922.12 and 8,221.58 is: 12,332.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,281.53 : 43,922.12 = 8,221.58 : x
  2. Step 2: Convert to fraction form
    29,281.53/43,922.12 = 8,221.58/x
  3. Step 3: Cross multiply
    29,281.53x = 43,922.12 × 8,221.58
  4. Step 4: Simplify right side
    29,281.53x = 361,109,073.18
  5. Step 5: Solve for x
    x = 361,109,073.18/29,281.53
  6. Step 6: Final answer
    x = 12,332.32

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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.