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Finding the Fourth Proportional to 46,850.38, 64,653.72 and 25,630

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Solution

The fourth proportional to 46,850.38, 64,653.72 and 25,630 is: 35,369.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,850.38 : 64,653.72 = 25,630 : x
  2. Step 2: Convert to fraction form
    46,850.38/64,653.72 = 25,630/x
  3. Step 3: Cross multiply
    46,850.38x = 64,653.72 × 25,630
  4. Step 4: Simplify right side
    46,850.38x = 1,657,074,843.60
  5. Step 5: Solve for x
    x = 1,657,074,843.60/46,850.38
  6. Step 6: Final answer
    x = 35,369.51

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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.