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Finding the Fourth Proportional to 74,012.22, 102,137.67 and 40,477.50

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Solution

The fourth proportional to 74,012.22, 102,137.67 and 40,477.50 is: 55,859.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,012.22 : 102,137.67 = 40,477.50 : x
  2. Step 2: Convert to fraction form
    74,012.22/102,137.67 = 40,477.50/x
  3. Step 3: Cross multiply
    74,012.22x = 102,137.67 × 40,477.50
  4. Step 4: Simplify right side
    74,012.22x = 4,134,277,537.43
  5. Step 5: Solve for x
    x = 4,134,277,537.43/74,012.22
  6. Step 6: Final answer
    x = 55,859.39

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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.