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Finding the Fourth Proportional to 46,965.42, 70,485.39 and 41,429.88

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Solution

The fourth proportional to 46,965.42, 70,485.39 and 41,429.88 is: 62,177.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,965.42 : 70,485.39 = 41,429.88 : x
  2. Step 2: Convert to fraction form
    46,965.42/70,485.39 = 41,429.88/x
  3. Step 3: Cross multiply
    46,965.42x = 70,485.39 × 41,429.88
  4. Step 4: Simplify right side
    46,965.42x = 2,920,201,249.45
  5. Step 5: Solve for x
    x = 2,920,201,249.45/46,965.42
  6. Step 6: Final answer
    x = 62,177.69

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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.