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Finding the Fourth Proportional to 74,142.90, 111,165.21 and 40,878.90

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Solution

The fourth proportional to 74,142.90, 111,165.21 and 40,878.90 is: 61,291.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,142.90 : 111,165.21 = 40,878.90 : x
  2. Step 2: Convert to fraction form
    74,142.90/111,165.21 = 40,878.90/x
  3. Step 3: Cross multiply
    74,142.90x = 111,165.21 × 40,878.90
  4. Step 4: Simplify right side
    74,142.90x = 4,544,311,503.07
  5. Step 5: Solve for x
    x = 4,544,311,503.07/74,142.90
  6. Step 6: Final answer
    x = 61,291.26

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.