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Finding the Fourth Proportional to 83,052.34, 114,572.37 and 54,359.37

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Solution

The fourth proportional to 83,052.34, 114,572.37 and 54,359.37 is: 74,989.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,052.34 : 114,572.37 = 54,359.37 : x
  2. Step 2: Convert to fraction form
    83,052.34/114,572.37 = 54,359.37/x
  3. Step 3: Cross multiply
    83,052.34x = 114,572.37 × 54,359.37
  4. Step 4: Simplify right side
    83,052.34x = 6,228,082,056.45
  5. Step 5: Solve for x
    x = 6,228,082,056.45/83,052.34
  6. Step 6: Final answer
    x = 74,989.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.