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Finding the Fourth Proportional to 80,116.32, 110,574 and 46,601.76

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Solution

The fourth proportional to 80,116.32, 110,574 and 46,601.76 is: 64,318.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,116.32 : 110,574 = 46,601.76 : x
  2. Step 2: Convert to fraction form
    80,116.32/110,574 = 46,601.76/x
  3. Step 3: Cross multiply
    80,116.32x = 110,574 × 46,601.76
  4. Step 4: Simplify right side
    80,116.32x = 5,152,943,010.24
  5. Step 5: Solve for x
    x = 5,152,943,010.24/80,116.32
  6. Step 6: Final answer
    x = 64,318.27

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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.