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Finding the Fourth Proportional to 74,234.50, 102,419.53 and 41,966.00

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Solution

The fourth proportional to 74,234.50, 102,419.53 and 41,966.00 is: 57,899.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,234.50 : 102,419.53 = 41,966.00 : x
  2. Step 2: Convert to fraction form
    74,234.50/102,419.53 = 41,966.00/x
  3. Step 3: Cross multiply
    74,234.50x = 102,419.53 × 41,966.00
  4. Step 4: Simplify right side
    74,234.50x = 4,298,137,704.03
  5. Step 5: Solve for x
    x = 4,298,137,704.03/74,234.50
  6. Step 6: Final answer
    x = 57,899.46

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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.