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Finding the Fourth Proportional to 74,180.09, 102,368.39 and 40,189.50

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Solution

The fourth proportional to 74,180.09, 102,368.39 and 40,189.50 is: 55,461.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,180.09 : 102,368.39 = 40,189.50 : x
  2. Step 2: Convert to fraction form
    74,180.09/102,368.39 = 40,189.50/x
  3. Step 3: Cross multiply
    74,180.09x = 102,368.39 × 40,189.50
  4. Step 4: Simplify right side
    74,180.09x = 4,114,134,350.25
  5. Step 5: Solve for x
    x = 4,114,134,350.25/74,180.09
  6. Step 6: Final answer
    x = 55,461.43

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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.