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Finding the Fourth Proportional to 45,576, 62,894.88 and 25,707.84

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Solution

The fourth proportional to 45,576, 62,894.88 and 25,707.84 is: 35,476.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,576 : 62,894.88 = 25,707.84 : x
  2. Step 2: Convert to fraction form
    45,576/62,894.88 = 25,707.84/x
  3. Step 3: Cross multiply
    45,576x = 62,894.88 × 25,707.84
  4. Step 4: Simplify right side
    45,576x = 1,616,891,511.86
  5. Step 5: Solve for x
    x = 1,616,891,511.86/45,576
  6. Step 6: Final answer
    x = 35,476.82

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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.