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Finding the Fourth Proportional to 40,156.98, 55,442.64 and 25,823.25

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Solution

The fourth proportional to 40,156.98, 55,442.64 and 25,823.25 is: 35,652.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,156.98 : 55,442.64 = 25,823.25 : x
  2. Step 2: Convert to fraction form
    40,156.98/55,442.64 = 25,823.25/x
  3. Step 3: Cross multiply
    40,156.98x = 55,442.64 × 25,823.25
  4. Step 4: Simplify right side
    40,156.98x = 1,431,709,153.38
  5. Step 5: Solve for x
    x = 1,431,709,153.38/40,156.98
  6. Step 6: Final answer
    x = 35,652.81

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.