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Finding the Fourth Proportional to 76,575.48, 114,854.10 and 20,419.80

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Solution

The fourth proportional to 76,575.48, 114,854.10 and 20,419.80 is: 30,627.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,575.48 : 114,854.10 = 20,419.80 : x
  2. Step 2: Convert to fraction form
    76,575.48/114,854.10 = 20,419.80/x
  3. Step 3: Cross multiply
    76,575.48x = 114,854.10 × 20,419.80
  4. Step 4: Simplify right side
    76,575.48x = 2,345,297,751.18
  5. Step 5: Solve for x
    x = 2,345,297,751.18/76,575.48
  6. Step 6: Final answer
    x = 30,627.27

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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.