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Finding the Fourth Proportional to 84,600, 116,760.36 and 48,782.94

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Solution

The fourth proportional to 84,600, 116,760.36 and 48,782.94 is: 67,327.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,600 : 116,760.36 = 48,782.94 : x
  2. Step 2: Convert to fraction form
    84,600/116,760.36 = 48,782.94/x
  3. Step 3: Cross multiply
    84,600x = 116,760.36 × 48,782.94
  4. Step 4: Simplify right side
    84,600x = 5,695,913,636.26
  5. Step 5: Solve for x
    x = 5,695,913,636.26/84,600
  6. Step 6: Final answer
    x = 67,327.58

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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.