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Finding the Fourth Proportional to 74,052.72, 102,211.74 and 45,742.20

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Solution

The fourth proportional to 74,052.72, 102,211.74 and 45,742.20 is: 63,135.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,052.72 : 102,211.74 = 45,742.20 : x
  2. Step 2: Convert to fraction form
    74,052.72/102,211.74 = 45,742.20/x
  3. Step 3: Cross multiply
    74,052.72x = 102,211.74 × 45,742.20
  4. Step 4: Simplify right side
    74,052.72x = 4,675,389,853.43
  5. Step 5: Solve for x
    x = 4,675,389,853.43/74,052.72
  6. Step 6: Final answer
    x = 63,135.96

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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.