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Finding the Fourth Proportional to 27,435, 37,868.94 and 17,499

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Solution

The fourth proportional to 27,435, 37,868.94 and 17,499 is: 24,154.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,435 : 37,868.94 = 17,499 : x
  2. Step 2: Convert to fraction form
    27,435/37,868.94 = 17,499/x
  3. Step 3: Cross multiply
    27,435x = 37,868.94 × 17,499
  4. Step 4: Simplify right side
    27,435x = 662,668,581.06
  5. Step 5: Solve for x
    x = 662,668,581.06/27,435
  6. Step 6: Final answer
    x = 24,154.13

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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.