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Finding the Fourth Proportional to 74,469.41, 102,764.76 and 40,477.11

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Solution

The fourth proportional to 74,469.41, 102,764.76 and 40,477.11 is: 55,856.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,469.41 : 102,764.76 = 40,477.11 : x
  2. Step 2: Convert to fraction form
    74,469.41/102,764.76 = 40,477.11/x
  3. Step 3: Cross multiply
    74,469.41x = 102,764.76 × 40,477.11
  4. Step 4: Simplify right side
    74,469.41x = 4,159,620,494.64
  5. Step 5: Solve for x
    x = 4,159,620,494.64/74,469.41
  6. Step 6: Final answer
    x = 55,856.77

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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.