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Finding the Fourth Proportional to 27,884.80, 41,827.20 and 25,746.40

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Solution

The fourth proportional to 27,884.80, 41,827.20 and 25,746.40 is: 38,619.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,884.80 : 41,827.20 = 25,746.40 : x
  2. Step 2: Convert to fraction form
    27,884.80/41,827.20 = 25,746.40/x
  3. Step 3: Cross multiply
    27,884.80x = 41,827.20 × 25,746.40
  4. Step 4: Simplify right side
    27,884.80x = 1,076,899,822.08
  5. Step 5: Solve for x
    x = 1,076,899,822.08/27,884.80
  6. Step 6: Final answer
    x = 38,619.60

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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.