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Finding the Fourth Proportional to 46,876.92, 64,680.12 and 27,762.68

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Solution

The fourth proportional to 46,876.92, 64,680.12 and 27,762.68 is: 38,306.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,876.92 : 64,680.12 = 27,762.68 : x
  2. Step 2: Convert to fraction form
    46,876.92/64,680.12 = 27,762.68/x
  3. Step 3: Cross multiply
    46,876.92x = 64,680.12 × 27,762.68
  4. Step 4: Simplify right side
    46,876.92x = 1,795,693,473.92
  5. Step 5: Solve for x
    x = 1,795,693,473.92/46,876.92
  6. Step 6: Final answer
    x = 38,306.56

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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.