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Finding the Fourth Proportional to 32,037.24, 44,226.12 and 24,082

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Solution

The fourth proportional to 32,037.24, 44,226.12 and 24,082 is: 33,244.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,037.24 : 44,226.12 = 24,082 : x
  2. Step 2: Convert to fraction form
    32,037.24/44,226.12 = 24,082/x
  3. Step 3: Cross multiply
    32,037.24x = 44,226.12 × 24,082
  4. Step 4: Simplify right side
    32,037.24x = 1,065,053,421.84
  5. Step 5: Solve for x
    x = 1,065,053,421.84/32,037.24
  6. Step 6: Final answer
    x = 33,244.23

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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.