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Finding the Fourth Proportional to 46,643.20, 69,964.80 and 41,588.80

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Solution

The fourth proportional to 46,643.20, 69,964.80 and 41,588.80 is: 62,383.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,643.20 : 69,964.80 = 41,588.80 : x
  2. Step 2: Convert to fraction form
    46,643.20/69,964.80 = 41,588.80/x
  3. Step 3: Cross multiply
    46,643.20x = 69,964.80 × 41,588.80
  4. Step 4: Simplify right side
    46,643.20x = 2,909,752,074.24
  5. Step 5: Solve for x
    x = 2,909,752,074.24/46,643.20
  6. Step 6: Final answer
    x = 62,383.20

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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.