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Finding the Fourth Proportional to 46,321.80, 69,575.64 and 27,638.32

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Solution

The fourth proportional to 46,321.80, 69,575.64 and 27,638.32 is: 41,512.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,321.80 : 69,575.64 = 27,638.32 : x
  2. Step 2: Convert to fraction form
    46,321.80/69,575.64 = 27,638.32/x
  3. Step 3: Cross multiply
    46,321.80x = 69,575.64 × 27,638.32
  4. Step 4: Simplify right side
    46,321.80x = 1,922,953,802.52
  5. Step 5: Solve for x
    x = 1,922,953,802.52/46,321.80
  6. Step 6: Final answer
    x = 41,512.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.