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Finding the Fourth Proportional to 27,097.40, 37,988.20 and 27,097.40

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Solution

The fourth proportional to 27,097.40, 37,988.20 and 27,097.40 is: 37,988.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,097.40 : 37,988.20 = 27,097.40 : x
  2. Step 2: Convert to fraction form
    27,097.40/37,988.20 = 27,097.40/x
  3. Step 3: Cross multiply
    27,097.40x = 37,988.20 × 27,097.40
  4. Step 4: Simplify right side
    27,097.40x = 1,029,381,450.68
  5. Step 5: Solve for x
    x = 1,029,381,450.68/27,097.40
  6. Step 6: Final answer
    x = 37,988.20

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.