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Finding the Fourth Proportional to 32,343.90, 44,632.11 and 18,194.01

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Solution

The fourth proportional to 32,343.90, 44,632.11 and 18,194.01 is: 25,106.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,343.90 : 44,632.11 = 18,194.01 : x
  2. Step 2: Convert to fraction form
    32,343.90/44,632.11 = 18,194.01/x
  3. Step 3: Cross multiply
    32,343.90x = 44,632.11 × 18,194.01
  4. Step 4: Simplify right side
    32,343.90x = 812,037,055.66
  5. Step 5: Solve for x
    x = 812,037,055.66/32,343.90
  6. Step 6: Final answer
    x = 25,106.34

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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.