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Finding the Fourth Proportional to 46,797.68, 64,594.04 and 27,684.09

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Solution

The fourth proportional to 46,797.68, 64,594.04 and 27,684.09 is: 38,211.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,797.68 : 64,594.04 = 27,684.09 : x
  2. Step 2: Convert to fraction form
    46,797.68/64,594.04 = 27,684.09/x
  3. Step 3: Cross multiply
    46,797.68x = 64,594.04 × 27,684.09
  4. Step 4: Simplify right side
    46,797.68x = 1,788,227,216.82
  5. Step 5: Solve for x
    x = 1,788,227,216.82/46,797.68
  6. Step 6: Final answer
    x = 38,211.88

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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.