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Finding the Fourth Proportional to 27,461.70, 37,899.51 and 15,527.16

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Solution

The fourth proportional to 27,461.70, 37,899.51 and 15,527.16 is: 21,428.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,461.70 : 37,899.51 = 15,527.16 : x
  2. Step 2: Convert to fraction form
    27,461.70/37,899.51 = 15,527.16/x
  3. Step 3: Cross multiply
    27,461.70x = 37,899.51 × 15,527.16
  4. Step 4: Simplify right side
    27,461.70x = 588,471,755.69
  5. Step 5: Solve for x
    x = 588,471,755.69/27,461.70
  6. Step 6: Final answer
    x = 21,428.82

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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.