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Finding the Fourth Proportional to 46,856.96, 64,664.16 and 27,991.52

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Solution

The fourth proportional to 46,856.96, 64,664.16 and 27,991.52 is: 38,629.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,856.96 : 64,664.16 = 27,991.52 : x
  2. Step 2: Convert to fraction form
    46,856.96/64,664.16 = 27,991.52/x
  3. Step 3: Cross multiply
    46,856.96x = 64,664.16 × 27,991.52
  4. Step 4: Simplify right side
    46,856.96x = 1,810,048,127.92
  5. Step 5: Solve for x
    x = 1,810,048,127.92/46,856.96
  6. Step 6: Final answer
    x = 38,629.23

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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.