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Finding the Fourth Proportional to 37,871.40, 52,266.44 and 22,769

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Solution

The fourth proportional to 37,871.40, 52,266.44 and 22,769 is: 31,423.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,871.40 : 52,266.44 = 22,769 : x
  2. Step 2: Convert to fraction form
    37,871.40/52,266.44 = 22,769/x
  3. Step 3: Cross multiply
    37,871.40x = 52,266.44 × 22,769
  4. Step 4: Simplify right side
    37,871.40x = 1,190,054,572.36
  5. Step 5: Solve for x
    x = 1,190,054,572.36/37,871.40
  6. Step 6: Final answer
    x = 31,423.57

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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.