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Finding the Fourth Proportional to 50,775, 76,197.08 and 30,529.32

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Solution

The fourth proportional to 50,775, 76,197.08 and 30,529.32 is: 45,814.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,775 : 76,197.08 = 30,529.32 : x
  2. Step 2: Convert to fraction form
    50,775/76,197.08 = 30,529.32/x
  3. Step 3: Cross multiply
    50,775x = 76,197.08 × 30,529.32
  4. Step 4: Simplify right side
    50,775x = 2,326,245,038.39
  5. Step 5: Solve for x
    x = 2,326,245,038.39/50,775
  6. Step 6: Final answer
    x = 45,814.77

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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.