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Finding the Fourth Proportional to 77,205.80, 115,808.70 and 30,452.60

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Solution

The fourth proportional to 77,205.80, 115,808.70 and 30,452.60 is: 45,678.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,205.80 : 115,808.70 = 30,452.60 : x
  2. Step 2: Convert to fraction form
    77,205.80/115,808.70 = 30,452.60/x
  3. Step 3: Cross multiply
    77,205.80x = 115,808.70 × 30,452.60
  4. Step 4: Simplify right side
    77,205.80x = 3,526,676,017.62
  5. Step 5: Solve for x
    x = 3,526,676,017.62/77,205.80
  6. Step 6: Final answer
    x = 45,678.90

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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.