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Finding the Fourth Proportional to 80,359.92, 110,895.82 and 46,368

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Solution

The fourth proportional to 80,359.92, 110,895.82 and 46,368 is: 63,987.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,359.92 : 110,895.82 = 46,368 : x
  2. Step 2: Convert to fraction form
    80,359.92/110,895.82 = 46,368/x
  3. Step 3: Cross multiply
    80,359.92x = 110,895.82 × 46,368
  4. Step 4: Simplify right side
    80,359.92x = 5,142,017,265.84
  5. Step 5: Solve for x
    x = 5,142,017,265.84/80,359.92
  6. Step 6: Final answer
    x = 63,987.34

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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.