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Finding the Fourth Proportional to 71,946.08, 107,909.28 and 27,584

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Solution

The fourth proportional to 71,946.08, 107,909.28 and 27,584 is: 41,372.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,946.08 : 107,909.28 = 27,584 : x
  2. Step 2: Convert to fraction form
    71,946.08/107,909.28 = 27,584/x
  3. Step 3: Cross multiply
    71,946.08x = 107,909.28 × 27,584
  4. Step 4: Simplify right side
    71,946.08x = 2,976,569,579.52
  5. Step 5: Solve for x
    x = 2,976,569,579.52/71,946.08
  6. Step 6: Final answer
    x = 41,372.23

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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.