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Finding the Fourth Proportional to 46,570, 64,265.96 and 27,706.64

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Solution

The fourth proportional to 46,570, 64,265.96 and 27,706.64 is: 38,234.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,570 : 64,265.96 = 27,706.64 : x
  2. Step 2: Convert to fraction form
    46,570/64,265.96 = 27,706.64/x
  3. Step 3: Cross multiply
    46,570x = 64,265.96 × 27,706.64
  4. Step 4: Simplify right side
    46,570x = 1,780,593,817.97
  5. Step 5: Solve for x
    x = 1,780,593,817.97/46,570
  6. Step 6: Final answer
    x = 38,234.78

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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.