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Finding the Fourth Proportional to 46,409.63, 64,046.24 and 26,266.50

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Solution

The fourth proportional to 46,409.63, 64,046.24 and 26,266.50 is: 36,248.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,409.63 : 64,046.24 = 26,266.50 : x
  2. Step 2: Convert to fraction form
    46,409.63/64,046.24 = 26,266.50/x
  3. Step 3: Cross multiply
    46,409.63x = 64,046.24 × 26,266.50
  4. Step 4: Simplify right side
    46,409.63x = 1,682,270,431.63
  5. Step 5: Solve for x
    x = 1,682,270,431.63/46,409.63
  6. Step 6: Final answer
    x = 36,248.31

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.