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Finding the Fourth Proportional to 37,828, 56,742 and 10,126

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Solution

The fourth proportional to 37,828, 56,742 and 10,126 is: 15,189

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,828 : 56,742 = 10,126 : x
  2. Step 2: Convert to fraction form
    37,828/56,742 = 10,126/x
  3. Step 3: Cross multiply
    37,828x = 56,742 × 10,126
  4. Step 4: Simplify right side
    37,828x = 574,569,492
  5. Step 5: Solve for x
    x = 574,569,492/37,828
  6. Step 6: Final answer
    x = 15,189

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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.