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Finding the Fourth Proportional to 77,189.11, 115,783.67 and 21,785.11

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Solution

The fourth proportional to 77,189.11, 115,783.67 and 21,785.11 is: 32,677.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,189.11 : 115,783.67 = 21,785.11 : x
  2. Step 2: Convert to fraction form
    77,189.11/115,783.67 = 21,785.11/x
  3. Step 3: Cross multiply
    77,189.11x = 115,783.67 × 21,785.11
  4. Step 4: Simplify right side
    77,189.11x = 2,522,359,987.15
  5. Step 5: Solve for x
    x = 2,522,359,987.15/77,189.11
  6. Step 6: Final answer
    x = 32,677.67

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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.