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Finding the Fourth Proportional to 46,474.71, 64,140.57 and 27,611.85

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Solution

The fourth proportional to 46,474.71, 64,140.57 and 27,611.85 is: 38,107.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,474.71 : 64,140.57 = 27,611.85 : x
  2. Step 2: Convert to fraction form
    46,474.71/64,140.57 = 27,611.85/x
  3. Step 3: Cross multiply
    46,474.71x = 64,140.57 × 27,611.85
  4. Step 4: Simplify right side
    46,474.71x = 1,771,039,797.75
  5. Step 5: Solve for x
    x = 1,771,039,797.75/46,474.71
  6. Step 6: Final answer
    x = 38,107.60

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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.