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Finding the Fourth Proportional to 74,082, 102,233.88 and 40,548.72

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Solution

The fourth proportional to 74,082, 102,233.88 and 40,548.72 is: 55,957.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,082 : 102,233.88 = 40,548.72 : x
  2. Step 2: Convert to fraction form
    74,082/102,233.88 = 40,548.72/x
  3. Step 3: Cross multiply
    74,082x = 102,233.88 × 40,548.72
  4. Step 4: Simplify right side
    74,082x = 4,145,452,974.63
  5. Step 5: Solve for x
    x = 4,145,452,974.63/74,082
  6. Step 6: Final answer
    x = 55,957.63

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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.