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Finding the Fourth Proportional to 53,827.40, 80,708.70 and 27,583.40

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Solution

The fourth proportional to 53,827.40, 80,708.70 and 27,583.40 is: 41,358.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,827.40 : 80,708.70 = 27,583.40 : x
  2. Step 2: Convert to fraction form
    53,827.40/80,708.70 = 27,583.40/x
  3. Step 3: Cross multiply
    53,827.40x = 80,708.70 × 27,583.40
  4. Step 4: Simplify right side
    53,827.40x = 2,226,220,355.58
  5. Step 5: Solve for x
    x = 2,226,220,355.58/53,827.40
  6. Step 6: Final answer
    x = 41,358.50

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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.