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Finding the Fourth Proportional to 27,578.16, 38,071.08 and 16,976.88

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Solution

The fourth proportional to 27,578.16, 38,071.08 and 16,976.88 is: 23,436.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,578.16 : 38,071.08 = 16,976.88 : x
  2. Step 2: Convert to fraction form
    27,578.16/38,071.08 = 16,976.88/x
  3. Step 3: Cross multiply
    27,578.16x = 38,071.08 × 16,976.88
  4. Step 4: Simplify right side
    27,578.16x = 646,328,156.63
  5. Step 5: Solve for x
    x = 646,328,156.63/27,578.16
  6. Step 6: Final answer
    x = 23,436.23

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1.5x scale

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.