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Finding the Fourth Proportional to 46,530, 64,211.43 and 26,380.44

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Solution

The fourth proportional to 46,530, 64,211.43 and 26,380.44 is: 36,405.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,530 : 64,211.43 = 26,380.44 : x
  2. Step 2: Convert to fraction form
    46,530/64,211.43 = 26,380.44/x
  3. Step 3: Cross multiply
    46,530x = 64,211.43 × 26,380.44
  4. Step 4: Simplify right side
    46,530x = 1,693,925,776.43
  5. Step 5: Solve for x
    x = 1,693,925,776.43/46,530
  6. Step 6: Final answer
    x = 36,405.02

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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.