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Finding the Fourth Proportional to 76,965.20, 115,447.80 and 47,416.40

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Solution

The fourth proportional to 76,965.20, 115,447.80 and 47,416.40 is: 71,124.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,965.20 : 115,447.80 = 47,416.40 : x
  2. Step 2: Convert to fraction form
    76,965.20/115,447.80 = 47,416.40/x
  3. Step 3: Cross multiply
    76,965.20x = 115,447.80 × 47,416.40
  4. Step 4: Simplify right side
    76,965.20x = 5,474,119,063.92
  5. Step 5: Solve for x
    x = 5,474,119,063.92/76,965.20
  6. Step 6: Final answer
    x = 71,124.60

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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.