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Finding the Fourth Proportional to 77,189.40, 115,697.70 and 32,808.60

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Solution

The fourth proportional to 77,189.40, 115,697.70 and 32,808.60 is: 49,176.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,189.40 : 115,697.70 = 32,808.60 : x
  2. Step 2: Convert to fraction form
    77,189.40/115,697.70 = 32,808.60/x
  3. Step 3: Cross multiply
    77,189.40x = 115,697.70 × 32,808.60
  4. Step 4: Simplify right side
    77,189.40x = 3,795,879,560.22
  5. Step 5: Solve for x
    x = 3,795,879,560.22/77,189.40
  6. Step 6: Final answer
    x = 49,176.18

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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.