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Finding the Fourth Proportional to 32,776.63, 45,231.74 and 17,872.63

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Solution

The fourth proportional to 32,776.63, 45,231.74 and 17,872.63 is: 24,664.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,776.63 : 45,231.74 = 17,872.63 : x
  2. Step 2: Convert to fraction form
    32,776.63/45,231.74 = 17,872.63/x
  3. Step 3: Cross multiply
    32,776.63x = 45,231.74 × 17,872.63
  4. Step 4: Simplify right side
    32,776.63x = 808,410,153.28
  5. Step 5: Solve for x
    x = 808,410,153.28/32,776.63
  6. Step 6: Final answer
    x = 24,664.22

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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.