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Finding the Fourth Proportional to 32,097.29, 44,295.47 and 17,950.10

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Solution

The fourth proportional to 32,097.29, 44,295.47 and 17,950.10 is: 24,771.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,097.29 : 44,295.47 = 17,950.10 : x
  2. Step 2: Convert to fraction form
    32,097.29/44,295.47 = 17,950.10/x
  3. Step 3: Cross multiply
    32,097.29x = 44,295.47 × 17,950.10
  4. Step 4: Simplify right side
    32,097.29x = 795,108,116.05
  5. Step 5: Solve for x
    x = 795,108,116.05/32,097.29
  6. Step 6: Final answer
    x = 24,771.81

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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.