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Finding the Fourth Proportional to 55,643.41, 76,745.53 and 47,895.41

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Solution

The fourth proportional to 55,643.41, 76,745.53 and 47,895.41 is: 66,059.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,643.41 : 76,745.53 = 47,895.41 : x
  2. Step 2: Convert to fraction form
    55,643.41/76,745.53 = 47,895.41/x
  3. Step 3: Cross multiply
    55,643.41x = 76,745.53 × 47,895.41
  4. Step 4: Simplify right side
    55,643.41x = 3,675,758,625.02
  5. Step 5: Solve for x
    x = 3,675,758,625.02/55,643.41
  6. Step 6: Final answer
    x = 66,059.19

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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.