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Finding the Fourth Proportional to 46,450.80, 64,107.63 and 27,587.97

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Solution

The fourth proportional to 46,450.80, 64,107.63 and 27,587.97 is: 38,074.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,450.80 : 64,107.63 = 27,587.97 : x
  2. Step 2: Convert to fraction form
    46,450.80/64,107.63 = 27,587.97/x
  3. Step 3: Cross multiply
    46,450.80x = 64,107.63 × 27,587.97
  4. Step 4: Simplify right side
    46,450.80x = 1,768,599,373.21
  5. Step 5: Solve for x
    x = 1,768,599,373.21/46,450.80
  6. Step 6: Final answer
    x = 38,074.68

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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.