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Finding the Fourth Proportional to 46,967.49, 70,473.98 and 20,668.82

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Solution

The fourth proportional to 46,967.49, 70,473.98 and 20,668.82 is: 31,013.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,967.49 : 70,473.98 = 20,668.82 : x
  2. Step 2: Convert to fraction form
    46,967.49/70,473.98 = 20,668.82/x
  3. Step 3: Cross multiply
    46,967.49x = 70,473.98 × 20,668.82
  4. Step 4: Simplify right side
    46,967.49x = 1,456,613,706.61
  5. Step 5: Solve for x
    x = 1,456,613,706.61/46,967.49
  6. Step 6: Final answer
    x = 31,013.23

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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.