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Finding the Fourth Proportional to 27,151.84, 40,729.76 and 17,310.40

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Solution

The fourth proportional to 27,151.84, 40,729.76 and 17,310.40 is: 25,966.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,151.84 : 40,729.76 = 17,310.40 : x
  2. Step 2: Convert to fraction form
    27,151.84/40,729.76 = 17,310.40/x
  3. Step 3: Cross multiply
    27,151.84x = 40,729.76 × 17,310.40
  4. Step 4: Simplify right side
    27,151.84x = 705,048,437.50
  5. Step 5: Solve for x
    x = 705,048,437.50/27,151.84
  6. Step 6: Final answer
    x = 25,966.88

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1.5x scale

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.