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Finding the Fourth Proportional to 74,002.06, 102,121.32 and 40,468.06

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Solution

The fourth proportional to 74,002.06, 102,121.32 and 40,468.06 is: 55,845.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,002.06 : 102,121.32 = 40,468.06 : x
  2. Step 2: Convert to fraction form
    74,002.06/102,121.32 = 40,468.06/x
  3. Step 3: Cross multiply
    74,002.06x = 102,121.32 × 40,468.06
  4. Step 4: Simplify right side
    74,002.06x = 4,132,651,705.04
  5. Step 5: Solve for x
    x = 4,132,651,705.04/74,002.06
  6. Step 6: Final answer
    x = 55,845.09

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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.