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Finding the Fourth Proportional to 32,069.38, 44,256.70 and 17,922.26

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Solution

The fourth proportional to 32,069.38, 44,256.70 and 17,922.26 is: 24,733.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,069.38 : 44,256.70 = 17,922.26 : x
  2. Step 2: Convert to fraction form
    32,069.38/44,256.70 = 17,922.26/x
  3. Step 3: Cross multiply
    32,069.38x = 44,256.70 × 17,922.26
  4. Step 4: Simplify right side
    32,069.38x = 793,180,084.14
  5. Step 5: Solve for x
    x = 793,180,084.14/32,069.38
  6. Step 6: Final answer
    x = 24,733.25

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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.