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Finding the Fourth Proportional to 84,882.24, 127,293.24 and 24,894

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Solution

The fourth proportional to 84,882.24, 127,293.24 and 24,894 is: 37,332.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,882.24 : 127,293.24 = 24,894 : x
  2. Step 2: Convert to fraction form
    84,882.24/127,293.24 = 24,894/x
  3. Step 3: Cross multiply
    84,882.24x = 127,293.24 × 24,894
  4. Step 4: Simplify right side
    84,882.24x = 3,168,837,916.56
  5. Step 5: Solve for x
    x = 3,168,837,916.56/84,882.24
  6. Step 6: Final answer
    x = 37,332.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.