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Finding the Fourth Proportional to 53,562.96, 80,314.32 and 21,964.32

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Solution

The fourth proportional to 53,562.96, 80,314.32 and 21,964.32 is: 32,934.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,562.96 : 80,314.32 = 21,964.32 : x
  2. Step 2: Convert to fraction form
    53,562.96/80,314.32 = 21,964.32/x
  3. Step 3: Cross multiply
    53,562.96x = 80,314.32 × 21,964.32
  4. Step 4: Simplify right side
    53,562.96x = 1,764,049,425.06
  5. Step 5: Solve for x
    x = 1,764,049,425.06/53,562.96
  6. Step 6: Final answer
    x = 32,934.13

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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.