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Finding the Fourth Proportional to 27,322.31, 40,966.47 and 11,519.21

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Solution

The fourth proportional to 27,322.31, 40,966.47 and 11,519.21 is: 17,271.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,322.31 : 40,966.47 = 11,519.21 : x
  2. Step 2: Convert to fraction form
    27,322.31/40,966.47 = 11,519.21/x
  3. Step 3: Cross multiply
    27,322.31x = 40,966.47 × 11,519.21
  4. Step 4: Simplify right side
    27,322.31x = 471,901,166.06
  5. Step 5: Solve for x
    x = 471,901,166.06/27,322.31
  6. Step 6: Final answer
    x = 17,271.65

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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.