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Finding the Fourth Proportional to 32,101.29, 44,299.74 and 17,954.16

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Solution

The fourth proportional to 32,101.29, 44,299.74 and 17,954.16 is: 24,776.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,101.29 : 44,299.74 = 17,954.16 : x
  2. Step 2: Convert to fraction form
    32,101.29/44,299.74 = 17,954.16/x
  3. Step 3: Cross multiply
    32,101.29x = 44,299.74 × 17,954.16
  4. Step 4: Simplify right side
    32,101.29x = 795,364,619.92
  5. Step 5: Solve for x
    x = 795,364,619.92/32,101.29
  6. Step 6: Final answer
    x = 24,776.72

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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.