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Finding the Fourth Proportional to 45,673.92, 63,002.88 and 33,768

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Solution

The fourth proportional to 45,673.92, 63,002.88 and 33,768 is: 46,579.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,673.92 : 63,002.88 = 33,768 : x
  2. Step 2: Convert to fraction form
    45,673.92/63,002.88 = 33,768/x
  3. Step 3: Cross multiply
    45,673.92x = 63,002.88 × 33,768
  4. Step 4: Simplify right side
    45,673.92x = 2,127,481,251.84
  5. Step 5: Solve for x
    x = 2,127,481,251.84/45,673.92
  6. Step 6: Final answer
    x = 46,579.78

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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.