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Finding the Fourth Proportional to 27,649.50, 38,156.31 and 17,713.50

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Solution

The fourth proportional to 27,649.50, 38,156.31 and 17,713.50 is: 24,444.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,649.50 : 38,156.31 = 17,713.50 : x
  2. Step 2: Convert to fraction form
    27,649.50/38,156.31 = 17,713.50/x
  3. Step 3: Cross multiply
    27,649.50x = 38,156.31 × 17,713.50
  4. Step 4: Simplify right side
    27,649.50x = 675,881,797.19
  5. Step 5: Solve for x
    x = 675,881,797.19/27,649.50
  6. Step 6: Final answer
    x = 24,444.63

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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.