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Finding the Fourth Proportional to 32,202.06, 44,438.97 and 18,054

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Solution

The fourth proportional to 32,202.06, 44,438.97 and 18,054 is: 24,914.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,202.06 : 44,438.97 = 18,054 : x
  2. Step 2: Convert to fraction form
    32,202.06/44,438.97 = 18,054/x
  3. Step 3: Cross multiply
    32,202.06x = 44,438.97 × 18,054
  4. Step 4: Simplify right side
    32,202.06x = 802,301,164.38
  5. Step 5: Solve for x
    x = 802,301,164.38/32,202.06
  6. Step 6: Final answer
    x = 24,914.59

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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.