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Finding the Fourth Proportional to 75,678.80, 113,530.20 and 25,763.60

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Solution

The fourth proportional to 75,678.80, 113,530.20 and 25,763.60 is: 38,649.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,678.80 : 113,530.20 = 25,763.60 : x
  2. Step 2: Convert to fraction form
    75,678.80/113,530.20 = 25,763.60/x
  3. Step 3: Cross multiply
    75,678.80x = 113,530.20 × 25,763.60
  4. Step 4: Simplify right side
    75,678.80x = 2,924,946,660.72
  5. Step 5: Solve for x
    x = 2,924,946,660.72/75,678.80
  6. Step 6: Final answer
    x = 38,649.49

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1.5x scale

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.