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Finding the Fourth Proportional to 74,651.46, 103,019.01 and 41,117.46

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Solution

The fourth proportional to 74,651.46, 103,019.01 and 41,117.46 is: 56,742.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,651.46 : 103,019.01 = 41,117.46 : x
  2. Step 2: Convert to fraction form
    74,651.46/103,019.01 = 41,117.46/x
  3. Step 3: Cross multiply
    74,651.46x = 103,019.01 × 41,117.46
  4. Step 4: Simplify right side
    74,651.46x = 4,235,880,022.91
  5. Step 5: Solve for x
    x = 4,235,880,022.91/74,651.46
  6. Step 6: Final answer
    x = 56,742.09

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.