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Finding the Fourth Proportional to 50,945.60, 76,307.60 and 31,164.32

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Solution

The fourth proportional to 50,945.60, 76,307.60 and 31,164.32 is: 46,678.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,945.60 : 76,307.60 = 31,164.32 : x
  2. Step 2: Convert to fraction form
    50,945.60/76,307.60 = 31,164.32/x
  3. Step 3: Cross multiply
    50,945.60x = 76,307.60 × 31,164.32
  4. Step 4: Simplify right side
    50,945.60x = 2,378,074,464.83
  5. Step 5: Solve for x
    x = 2,378,074,464.83/50,945.60
  6. Step 6: Final answer
    x = 46,678.70

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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.