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Finding the Fourth Proportional to 74,012.06, 102,139.08 and 40,478.06

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Solution

The fourth proportional to 74,012.06, 102,139.08 and 40,478.06 is: 55,861.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,012.06 : 102,139.08 = 40,478.06 : x
  2. Step 2: Convert to fraction form
    74,012.06/102,139.08 = 40,478.06/x
  3. Step 3: Cross multiply
    74,012.06x = 102,139.08 × 40,478.06
  4. Step 4: Simplify right side
    74,012.06x = 4,134,391,912.14
  5. Step 5: Solve for x
    x = 4,134,391,912.14/74,012.06
  6. Step 6: Final answer
    x = 55,861.06

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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.