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Finding the Fourth Proportional to 37,402.49, 56,082.68 and 12,429.18

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Solution

The fourth proportional to 37,402.49, 56,082.68 and 12,429.18 is: 18,636.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,402.49 : 56,082.68 = 12,429.18 : x
  2. Step 2: Convert to fraction form
    37,402.49/56,082.68 = 12,429.18/x
  3. Step 3: Cross multiply
    37,402.49x = 56,082.68 × 12,429.18
  4. Step 4: Simplify right side
    37,402.49x = 697,061,709.07
  5. Step 5: Solve for x
    x = 697,061,709.07/37,402.49
  6. Step 6: Final answer
    x = 18,636.77

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.