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Finding the Fourth Proportional to 74,034, 102,166.53 and 40,042.23

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Solution

The fourth proportional to 74,034, 102,166.53 and 40,042.23 is: 55,258.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,034 : 102,166.53 = 40,042.23 : x
  2. Step 2: Convert to fraction form
    74,034/102,166.53 = 40,042.23/x
  3. Step 3: Cross multiply
    74,034x = 102,166.53 × 40,042.23
  4. Step 4: Simplify right side
    74,034x = 4,090,975,692.56
  5. Step 5: Solve for x
    x = 4,090,975,692.56/74,034
  6. Step 6: Final answer
    x = 55,258.07

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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.