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Finding the Fourth Proportional to 46,451.88, 69,638.70 and 37,665

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Solution

The fourth proportional to 46,451.88, 69,638.70 and 37,665 is: 56,465.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,451.88 : 69,638.70 = 37,665 : x
  2. Step 2: Convert to fraction form
    46,451.88/69,638.70 = 37,665/x
  3. Step 3: Cross multiply
    46,451.88x = 69,638.70 × 37,665
  4. Step 4: Simplify right side
    46,451.88x = 2,622,941,635.50
  5. Step 5: Solve for x
    x = 2,622,941,635.50/46,451.88
  6. Step 6: Final answer
    x = 56,465.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.