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Finding the Fourth Proportional to 46,896.52, 64,708.48 and 28,029.64

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Solution

The fourth proportional to 46,896.52, 64,708.48 and 28,029.64 is: 38,675.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,896.52 : 64,708.48 = 28,029.64 : x
  2. Step 2: Convert to fraction form
    46,896.52/64,708.48 = 28,029.64/x
  3. Step 3: Cross multiply
    46,896.52x = 64,708.48 × 28,029.64
  4. Step 4: Simplify right side
    46,896.52x = 1,813,755,399.35
  5. Step 5: Solve for x
    x = 1,813,755,399.35/46,896.52
  6. Step 6: Final answer
    x = 38,675.69

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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.