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Finding the Fourth Proportional to 32,829.76, 45,289.24 and 21,494.24

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Solution

The fourth proportional to 32,829.76, 45,289.24 and 21,494.24 is: 29,651.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,829.76 : 45,289.24 = 21,494.24 : x
  2. Step 2: Convert to fraction form
    32,829.76/45,289.24 = 21,494.24/x
  3. Step 3: Cross multiply
    32,829.76x = 45,289.24 × 21,494.24
  4. Step 4: Simplify right side
    32,829.76x = 973,457,793.98
  5. Step 5: Solve for x
    x = 973,457,793.98/32,829.76
  6. Step 6: Final answer
    x = 29,651.69

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.