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Finding the Fourth Proportional to 76,809.60, 106,009.92 and 48,556.80

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Solution

The fourth proportional to 76,809.60, 106,009.92 and 48,556.80 is: 67,016.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,809.60 : 106,009.92 = 48,556.80 : x
  2. Step 2: Convert to fraction form
    76,809.60/106,009.92 = 48,556.80/x
  3. Step 3: Cross multiply
    76,809.60x = 106,009.92 × 48,556.80
  4. Step 4: Simplify right side
    76,809.60x = 5,147,502,483.46
  5. Step 5: Solve for x
    x = 5,147,502,483.46/76,809.60
  6. Step 6: Final answer
    x = 67,016.39

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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.