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Finding the Fourth Proportional to 74,070.64, 102,216.75 and 40,078.39

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Solution

The fourth proportional to 74,070.64, 102,216.75 and 40,078.39 is: 55,307.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,070.64 : 102,216.75 = 40,078.39 : x
  2. Step 2: Convert to fraction form
    74,070.64/102,216.75 = 40,078.39/x
  3. Step 3: Cross multiply
    74,070.64x = 102,216.75 × 40,078.39
  4. Step 4: Simplify right side
    74,070.64x = 4,096,682,771.03
  5. Step 5: Solve for x
    x = 4,096,682,771.03/74,070.64
  6. Step 6: Final answer
    x = 55,307.78

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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.