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Finding the Fourth Proportional to 81,802.40, 122,775.60 and 48,480.80

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Solution

The fourth proportional to 81,802.40, 122,775.60 and 48,480.80 is: 72,763.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,802.40 : 122,775.60 = 48,480.80 : x
  2. Step 2: Convert to fraction form
    81,802.40/122,775.60 = 48,480.80/x
  3. Step 3: Cross multiply
    81,802.40x = 122,775.60 × 48,480.80
  4. Step 4: Simplify right side
    81,802.40x = 5,952,259,308.48
  5. Step 5: Solve for x
    x = 5,952,259,308.48/81,802.40
  6. Step 6: Final answer
    x = 72,763.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.