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Finding the Fourth Proportional to 46,563.76, 64,260.09 and 27,444.34

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Solution

The fourth proportional to 46,563.76, 64,260.09 and 27,444.34 is: 37,874.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,563.76 : 64,260.09 = 27,444.34 : x
  2. Step 2: Convert to fraction form
    46,563.76/64,260.09 = 27,444.34/x
  3. Step 3: Cross multiply
    46,563.76x = 64,260.09 × 27,444.34
  4. Step 4: Simplify right side
    46,563.76x = 1,763,575,758.39
  5. Step 5: Solve for x
    x = 1,763,575,758.39/46,563.76
  6. Step 6: Final answer
    x = 37,874.43

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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.