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Finding the Fourth Proportional to 84,763.34, 116,978.91 and 48,964.22

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Solution

The fourth proportional to 84,763.34, 116,978.91 and 48,964.22 is: 67,573.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,763.34 : 116,978.91 = 48,964.22 : x
  2. Step 2: Convert to fraction form
    84,763.34/116,978.91 = 48,964.22/x
  3. Step 3: Cross multiply
    84,763.34x = 116,978.91 × 48,964.22
  4. Step 4: Simplify right side
    84,763.34x = 5,727,781,084.60
  5. Step 5: Solve for x
    x = 5,727,781,084.60/84,763.34
  6. Step 6: Final answer
    x = 67,573.80

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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.