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Finding the Fourth Proportional to 41,232, 56,900.16 and 22,369.14

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Solution

The fourth proportional to 41,232, 56,900.16 and 22,369.14 is: 30,869.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,232 : 56,900.16 = 22,369.14 : x
  2. Step 2: Convert to fraction form
    41,232/56,900.16 = 22,369.14/x
  3. Step 3: Cross multiply
    41,232x = 56,900.16 × 22,369.14
  4. Step 4: Simplify right side
    41,232x = 1,272,807,645.06
  5. Step 5: Solve for x
    x = 1,272,807,645.06/41,232
  6. Step 6: Final answer
    x = 30,869.41

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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.