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Finding the Fourth Proportional to 53,382.40, 80,123.76 and 27,106

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Solution

The fourth proportional to 53,382.40, 80,123.76 and 27,106 is: 40,684.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,382.40 : 80,123.76 = 27,106 : x
  2. Step 2: Convert to fraction form
    53,382.40/80,123.76 = 27,106/x
  3. Step 3: Cross multiply
    53,382.40x = 80,123.76 × 27,106
  4. Step 4: Simplify right side
    53,382.40x = 2,171,834,638.56
  5. Step 5: Solve for x
    x = 2,171,834,638.56/53,382.40
  6. Step 6: Final answer
    x = 40,684.47

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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.