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Finding the Fourth Proportional to 32,024.51, 44,193.56 and 17,684.34

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Solution

The fourth proportional to 32,024.51, 44,193.56 and 17,684.34 is: 24,404.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,024.51 : 44,193.56 = 17,684.34 : x
  2. Step 2: Convert to fraction form
    32,024.51/44,193.56 = 17,684.34/x
  3. Step 3: Cross multiply
    32,024.51x = 44,193.56 × 17,684.34
  4. Step 4: Simplify right side
    32,024.51x = 781,533,940.85
  5. Step 5: Solve for x
    x = 781,533,940.85/32,024.51
  6. Step 6: Final answer
    x = 24,404.24

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.