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Finding the Fourth Proportional to 46,717.32, 64,469.94 and 25,497

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Solution

The fourth proportional to 46,717.32, 64,469.94 and 25,497 is: 35,185.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,717.32 : 64,469.94 = 25,497 : x
  2. Step 2: Convert to fraction form
    46,717.32/64,469.94 = 25,497/x
  3. Step 3: Cross multiply
    46,717.32x = 64,469.94 × 25,497
  4. Step 4: Simplify right side
    46,717.32x = 1,643,790,060.18
  5. Step 5: Solve for x
    x = 1,643,790,060.18/46,717.32
  6. Step 6: Final answer
    x = 35,185.88

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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.