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Finding the Fourth Proportional to 46,996.66, 64,856.28 and 25,777

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Solution

The fourth proportional to 46,996.66, 64,856.28 and 25,777 is: 35,572.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,996.66 : 64,856.28 = 25,777 : x
  2. Step 2: Convert to fraction form
    46,996.66/64,856.28 = 25,777/x
  3. Step 3: Cross multiply
    46,996.66x = 64,856.28 × 25,777
  4. Step 4: Simplify right side
    46,996.66x = 1,671,800,329.56
  5. Step 5: Solve for x
    x = 1,671,800,329.56/46,996.66
  6. Step 6: Final answer
    x = 35,572.75

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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.