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Finding the Fourth Proportional to 46,958.68, 64,791.36 and 27,842.92

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Solution

The fourth proportional to 46,958.68, 64,791.36 and 27,842.92 is: 38,416.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,958.68 : 64,791.36 = 27,842.92 : x
  2. Step 2: Convert to fraction form
    46,958.68/64,791.36 = 27,842.92/x
  3. Step 3: Cross multiply
    46,958.68x = 64,791.36 × 27,842.92
  4. Step 4: Simplify right side
    46,958.68x = 1,803,980,653.17
  5. Step 5: Solve for x
    x = 1,803,980,653.17/46,958.68
  6. Step 6: Final answer
    x = 38,416.34

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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.