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Finding the Fourth Proportional to 32,289.38, 44,561.66 and 18,142.23

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Solution

The fourth proportional to 32,289.38, 44,561.66 and 18,142.23 is: 25,037.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,289.38 : 44,561.66 = 18,142.23 : x
  2. Step 2: Convert to fraction form
    32,289.38/44,561.66 = 18,142.23/x
  3. Step 3: Cross multiply
    32,289.38x = 44,561.66 × 18,142.23
  4. Step 4: Simplify right side
    32,289.38x = 808,447,794.19
  5. Step 5: Solve for x
    x = 808,447,794.19/32,289.38
  6. Step 6: Final answer
    x = 25,037.58

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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.