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Finding the Fourth Proportional to 84,954.75, 117,237.69 and 47,229

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Solution

The fourth proportional to 84,954.75, 117,237.69 and 47,229 is: 65,176.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,954.75 : 117,237.69 = 47,229 : x
  2. Step 2: Convert to fraction form
    84,954.75/117,237.69 = 47,229/x
  3. Step 3: Cross multiply
    84,954.75x = 117,237.69 × 47,229
  4. Step 4: Simplify right side
    84,954.75x = 5,537,018,861.01
  5. Step 5: Solve for x
    x = 5,537,018,861.01/84,954.75
  6. Step 6: Final answer
    x = 65,176.10

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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.