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Finding the Fourth Proportional to 46,546.59, 64,234.56 and 25,326

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Solution

The fourth proportional to 46,546.59, 64,234.56 and 25,326 is: 34,950.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,546.59 : 64,234.56 = 25,326 : x
  2. Step 2: Convert to fraction form
    46,546.59/64,234.56 = 25,326/x
  3. Step 3: Cross multiply
    46,546.59x = 64,234.56 × 25,326
  4. Step 4: Simplify right side
    46,546.59x = 1,626,804,466.56
  5. Step 5: Solve for x
    x = 1,626,804,466.56/46,546.59
  6. Step 6: Final answer
    x = 34,950.02

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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.