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Finding the Fourth Proportional to 84,627.96, 116,782.46 and 48,829.52

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Solution

The fourth proportional to 84,627.96, 116,782.46 and 48,829.52 is: 67,382.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,627.96 : 116,782.46 = 48,829.52 : x
  2. Step 2: Convert to fraction form
    84,627.96/116,782.46 = 48,829.52/x
  3. Step 3: Cross multiply
    84,627.96x = 116,782.46 × 48,829.52
  4. Step 4: Simplify right side
    84,627.96x = 5,702,431,466.22
  5. Step 5: Solve for x
    x = 5,702,431,466.22/84,627.96
  6. Step 6: Final answer
    x = 67,382.36

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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.