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Finding the Fourth Proportional to 76,480.20, 114,675.75 and 29,678.40

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Solution

The fourth proportional to 76,480.20, 114,675.75 and 29,678.40 is: 44,500.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,480.20 : 114,675.75 = 29,678.40 : x
  2. Step 2: Convert to fraction form
    76,480.20/114,675.75 = 29,678.40/x
  3. Step 3: Cross multiply
    76,480.20x = 114,675.75 × 29,678.40
  4. Step 4: Simplify right side
    76,480.20x = 3,403,392,778.80
  5. Step 5: Solve for x
    x = 3,403,392,778.80/76,480.20
  6. Step 6: Final answer
    x = 44,500.31

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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.