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Finding the Fourth Proportional to 74,085.86, 102,237.69 and 40,093.60

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Solution

The fourth proportional to 74,085.86, 102,237.69 and 40,093.60 is: 55,328.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,085.86 : 102,237.69 = 40,093.60 : x
  2. Step 2: Convert to fraction form
    74,085.86/102,237.69 = 40,093.60/x
  3. Step 3: Cross multiply
    74,085.86x = 102,237.69 × 40,093.60
  4. Step 4: Simplify right side
    74,085.86x = 4,099,077,047.78
  5. Step 5: Solve for x
    x = 4,099,077,047.78/74,085.86
  6. Step 6: Final answer
    x = 55,328.74

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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.