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Finding the Fourth Proportional to 77,923, 107,533.74 and 44,389

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Solution

The fourth proportional to 77,923, 107,533.74 and 44,389 is: 61,256.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,923 : 107,533.74 = 44,389 : x
  2. Step 2: Convert to fraction form
    77,923/107,533.74 = 44,389/x
  3. Step 3: Cross multiply
    77,923x = 107,533.74 × 44,389
  4. Step 4: Simplify right side
    77,923x = 4,773,315,184.86
  5. Step 5: Solve for x
    x = 4,773,315,184.86/77,923
  6. Step 6: Final answer
    x = 61,256.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.