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Finding the Fourth Proportional to 74,038.56, 102,180.24 and 40,509.60

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Solution

The fourth proportional to 74,038.56, 102,180.24 and 40,509.60 is: 55,907.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,038.56 : 102,180.24 = 40,509.60 : x
  2. Step 2: Convert to fraction form
    74,038.56/102,180.24 = 40,509.60/x
  3. Step 3: Cross multiply
    74,038.56x = 102,180.24 × 40,509.60
  4. Step 4: Simplify right side
    74,038.56x = 4,139,280,650.30
  5. Step 5: Solve for x
    x = 4,139,280,650.30/74,038.56
  6. Step 6: Final answer
    x = 55,907.09

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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.