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Finding the Fourth Proportional to 27,671.50, 38,187.48 and 15,097.06

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Solution

The fourth proportional to 27,671.50, 38,187.48 and 15,097.06 is: 20,834.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,671.50 : 38,187.48 = 15,097.06 : x
  2. Step 2: Convert to fraction form
    27,671.50/38,187.48 = 15,097.06/x
  3. Step 3: Cross multiply
    27,671.50x = 38,187.48 × 15,097.06
  4. Step 4: Simplify right side
    27,671.50x = 576,518,676.81
  5. Step 5: Solve for x
    x = 576,518,676.81/27,671.50
  6. Step 6: Final answer
    x = 20,834.38

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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.