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Finding the Fourth Proportional to 85,641.72, 118,185.72 and 47,916

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Solution

The fourth proportional to 85,641.72, 118,185.72 and 47,916 is: 66,124.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,641.72 : 118,185.72 = 47,916 : x
  2. Step 2: Convert to fraction form
    85,641.72/118,185.72 = 47,916/x
  3. Step 3: Cross multiply
    85,641.72x = 118,185.72 × 47,916
  4. Step 4: Simplify right side
    85,641.72x = 5,662,986,959.52
  5. Step 5: Solve for x
    x = 5,662,986,959.52/85,641.72
  6. Step 6: Final answer
    x = 66,124.16

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.