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Finding the Fourth Proportional to 27,570.88, 38,047.02 and 15,635.32

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Solution

The fourth proportional to 27,570.88, 38,047.02 and 15,635.32 is: 21,576.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,570.88 : 38,047.02 = 15,635.32 : x
  2. Step 2: Convert to fraction form
    27,570.88/38,047.02 = 15,635.32/x
  3. Step 3: Cross multiply
    27,570.88x = 38,047.02 × 15,635.32
  4. Step 4: Simplify right side
    27,570.88x = 594,877,332.75
  5. Step 5: Solve for x
    x = 594,877,332.75/27,570.88
  6. Step 6: Final answer
    x = 21,576.29

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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.