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Finding the Fourth Proportional to 32,101.88, 44,299.76 and 17,762.24

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Solution

The fourth proportional to 32,101.88, 44,299.76 and 17,762.24 is: 24,511.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,101.88 : 44,299.76 = 17,762.24 : x
  2. Step 2: Convert to fraction form
    32,101.88/44,299.76 = 17,762.24/x
  3. Step 3: Cross multiply
    32,101.88x = 44,299.76 × 17,762.24
  4. Step 4: Simplify right side
    32,101.88x = 786,862,658.75
  5. Step 5: Solve for x
    x = 786,862,658.75/32,101.88
  6. Step 6: Final answer
    x = 24,511.42

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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.