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Finding the Fourth Proportional to 46,836.51, 64,611.72 and 27,711.06

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Solution

The fourth proportional to 46,836.51, 64,611.72 and 27,711.06 is: 38,227.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,836.51 : 64,611.72 = 27,711.06 : x
  2. Step 2: Convert to fraction form
    46,836.51/64,611.72 = 27,711.06/x
  3. Step 3: Cross multiply
    46,836.51x = 64,611.72 × 27,711.06
  4. Step 4: Simplify right side
    46,836.51x = 1,790,459,249.62
  5. Step 5: Solve for x
    x = 1,790,459,249.62/46,836.51
  6. Step 6: Final answer
    x = 38,227.85

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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.