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Finding the Fourth Proportional to 46,116, 63,640.49 and 27,966.33

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Solution

The fourth proportional to 46,116, 63,640.49 and 27,966.33 is: 38,593.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,116 : 63,640.49 = 27,966.33 : x
  2. Step 2: Convert to fraction form
    46,116/63,640.49 = 27,966.33/x
  3. Step 3: Cross multiply
    46,116x = 63,640.49 × 27,966.33
  4. Step 4: Simplify right side
    46,116x = 1,779,790,804.87
  5. Step 5: Solve for x
    x = 1,779,790,804.87/46,116
  6. Step 6: Final answer
    x = 38,593.78

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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.