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Finding the Fourth Proportional to 77,885.28, 116,842.44 and 36,332.28

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Solution

The fourth proportional to 77,885.28, 116,842.44 and 36,332.28 is: 54,505.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,885.28 : 116,842.44 = 36,332.28 : x
  2. Step 2: Convert to fraction form
    77,885.28/116,842.44 = 36,332.28/x
  3. Step 3: Cross multiply
    77,885.28x = 116,842.44 × 36,332.28
  4. Step 4: Simplify right side
    77,885.28x = 4,245,152,245.96
  5. Step 5: Solve for x
    x = 4,245,152,245.96/77,885.28
  6. Step 6: Final answer
    x = 54,505.19

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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.