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Finding the Fourth Proportional to 84,880.24, 127,290.24 and 24,892

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Solution

The fourth proportional to 84,880.24, 127,290.24 and 24,892 is: 37,329.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,880.24 : 127,290.24 = 24,892 : x
  2. Step 2: Convert to fraction form
    84,880.24/127,290.24 = 24,892/x
  3. Step 3: Cross multiply
    84,880.24x = 127,290.24 × 24,892
  4. Step 4: Simplify right side
    84,880.24x = 3,168,508,654.08
  5. Step 5: Solve for x
    x = 3,168,508,654.08/84,880.24
  6. Step 6: Final answer
    x = 37,329.17

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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.