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Finding the Fourth Proportional to 46,698.94, 70,048.23 and 27,984.61

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Solution

The fourth proportional to 46,698.94, 70,048.23 and 27,984.61 is: 41,976.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,698.94 : 70,048.23 = 27,984.61 : x
  2. Step 2: Convert to fraction form
    46,698.94/70,048.23 = 27,984.61/x
  3. Step 3: Cross multiply
    46,698.94x = 70,048.23 × 27,984.61
  4. Step 4: Simplify right side
    46,698.94x = 1,960,272,397.74
  5. Step 5: Solve for x
    x = 1,960,272,397.74/46,698.94
  6. Step 6: Final answer
    x = 41,976.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.