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Finding the Fourth Proportional to 46,777, 64,604.58 and 36,293.80

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Solution

The fourth proportional to 46,777, 64,604.58 and 36,293.80 is: 50,126.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,777 : 64,604.58 = 36,293.80 : x
  2. Step 2: Convert to fraction form
    46,777/64,604.58 = 36,293.80/x
  3. Step 3: Cross multiply
    46,777x = 64,604.58 × 36,293.80
  4. Step 4: Simplify right side
    46,777x = 2,344,745,705.60
  5. Step 5: Solve for x
    x = 2,344,745,705.60/46,777
  6. Step 6: Final answer
    x = 50,126.04

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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.