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Finding the Fourth Proportional to 32,074.49, 44,261.01 and 17,733.49

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Solution

The fourth proportional to 32,074.49, 44,261.01 and 17,733.49 is: 24,471.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,074.49 : 44,261.01 = 17,733.49 : x
  2. Step 2: Convert to fraction form
    32,074.49/44,261.01 = 17,733.49/x
  3. Step 3: Cross multiply
    32,074.49x = 44,261.01 × 17,733.49
  4. Step 4: Simplify right side
    32,074.49x = 784,902,349.79
  5. Step 5: Solve for x
    x = 784,902,349.79/32,074.49
  6. Step 6: Final answer
    x = 24,471.23

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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.