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Finding the Fourth Proportional to 40,232.61, 55,495.74 and 25,911

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Solution

The fourth proportional to 40,232.61, 55,495.74 and 25,911 is: 35,740.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,232.61 : 55,495.74 = 25,911 : x
  2. Step 2: Convert to fraction form
    40,232.61/55,495.74 = 25,911/x
  3. Step 3: Cross multiply
    40,232.61x = 55,495.74 × 25,911
  4. Step 4: Simplify right side
    40,232.61x = 1,437,950,119.14
  5. Step 5: Solve for x
    x = 1,437,950,119.14/40,232.61
  6. Step 6: Final answer
    x = 35,740.91

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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.