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Finding the Fourth Proportional to 46,517.58, 64,171.71 and 27,641.34

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Solution

The fourth proportional to 46,517.58, 64,171.71 and 27,641.34 is: 38,131.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,517.58 : 64,171.71 = 27,641.34 : x
  2. Step 2: Convert to fraction form
    46,517.58/64,171.71 = 27,641.34/x
  3. Step 3: Cross multiply
    46,517.58x = 64,171.71 × 27,641.34
  4. Step 4: Simplify right side
    46,517.58x = 1,773,792,054.49
  5. Step 5: Solve for x
    x = 1,773,792,054.49/46,517.58
  6. Step 6: Final answer
    x = 38,131.65

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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.