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Finding the Fourth Proportional to 84,341.30, 116,396.09 and 48,530.54

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Solution

The fourth proportional to 84,341.30, 116,396.09 and 48,530.54 is: 66,975.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,341.30 : 116,396.09 = 48,530.54 : x
  2. Step 2: Convert to fraction form
    84,341.30/116,396.09 = 48,530.54/x
  3. Step 3: Cross multiply
    84,341.30x = 116,396.09 × 48,530.54
  4. Step 4: Simplify right side
    84,341.30x = 5,648,765,331.92
  5. Step 5: Solve for x
    x = 5,648,765,331.92/84,341.30
  6. Step 6: Final answer
    x = 66,975.08

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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.