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Finding the Fourth Proportional to 27,870.12, 38,478.78 and 17,271

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Solution

The fourth proportional to 27,870.12, 38,478.78 and 17,271 is: 23,845.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,870.12 : 38,478.78 = 17,271 : x
  2. Step 2: Convert to fraction form
    27,870.12/38,478.78 = 17,271/x
  3. Step 3: Cross multiply
    27,870.12x = 38,478.78 × 17,271
  4. Step 4: Simplify right side
    27,870.12x = 664,567,009.38
  5. Step 5: Solve for x
    x = 664,567,009.38/27,870.12
  6. Step 6: Final answer
    x = 23,845.14

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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.