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Finding the Fourth Proportional to 80,309.84, 110,824.59 and 46,319.72

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Solution

The fourth proportional to 80,309.84, 110,824.59 and 46,319.72 is: 63,919.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,309.84 : 110,824.59 = 46,319.72 : x
  2. Step 2: Convert to fraction form
    80,309.84/110,824.59 = 46,319.72/x
  3. Step 3: Cross multiply
    80,309.84x = 110,824.59 × 46,319.72
  4. Step 4: Simplify right side
    80,309.84x = 5,133,363,977.91
  5. Step 5: Solve for x
    x = 5,133,363,977.91/80,309.84
  6. Step 6: Final answer
    x = 63,919.49

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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.