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Finding the Fourth Proportional to 83,170.48, 114,735.25 and 54,477.72

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Solution

The fourth proportional to 83,170.48, 114,735.25 and 54,477.72 is: 75,153.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,170.48 : 114,735.25 = 54,477.72 : x
  2. Step 2: Convert to fraction form
    83,170.48/114,735.25 = 54,477.72/x
  3. Step 3: Cross multiply
    83,170.48x = 114,735.25 × 54,477.72
  4. Step 4: Simplify right side
    83,170.48x = 6,250,514,823.63
  5. Step 5: Solve for x
    x = 6,250,514,823.63/83,170.48
  6. Step 6: Final answer
    x = 75,153.04

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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.