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Finding the Fourth Proportional to 27,942, 38,536.92 and 16,756.08

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Solution

The fourth proportional to 27,942, 38,536.92 and 16,756.08 is: 23,109.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,942 : 38,536.92 = 16,756.08 : x
  2. Step 2: Convert to fraction form
    27,942/38,536.92 = 16,756.08/x
  3. Step 3: Cross multiply
    27,942x = 38,536.92 × 16,756.08
  4. Step 4: Simplify right side
    27,942x = 645,727,714.47
  5. Step 5: Solve for x
    x = 645,727,714.47/27,942
  6. Step 6: Final answer
    x = 23,109.57

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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.