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Finding the Fourth Proportional to 27,531, 37,992.96 and 14,955.84

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Solution

The fourth proportional to 27,531, 37,992.96 and 14,955.84 is: 20,639.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,531 : 37,992.96 = 14,955.84 : x
  2. Step 2: Convert to fraction form
    27,531/37,992.96 = 14,955.84/x
  3. Step 3: Cross multiply
    27,531x = 37,992.96 × 14,955.84
  4. Step 4: Simplify right side
    27,531x = 568,216,630.89
  5. Step 5: Solve for x
    x = 568,216,630.89/27,531
  6. Step 6: Final answer
    x = 20,639.16

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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.