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Finding the Fourth Proportional to 32,096.88, 44,297.82 and 17,950.50

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Solution

The fourth proportional to 32,096.88, 44,297.82 and 17,950.50 is: 24,774.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,096.88 : 44,297.82 = 17,950.50 : x
  2. Step 2: Convert to fraction form
    32,096.88/44,297.82 = 17,950.50/x
  3. Step 3: Cross multiply
    32,096.88x = 44,297.82 × 17,950.50
  4. Step 4: Simplify right side
    32,096.88x = 795,168,017.91
  5. Step 5: Solve for x
    x = 795,168,017.91/32,096.88
  6. Step 6: Final answer
    x = 24,774.00

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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.