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Finding the Fourth Proportional to 45,427.50, 68,141.86 and 14,262.75

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Solution

The fourth proportional to 45,427.50, 68,141.86 and 14,262.75 is: 21,394.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,427.50 : 68,141.86 = 14,262.75 : x
  2. Step 2: Convert to fraction form
    45,427.50/68,141.86 = 14,262.75/x
  3. Step 3: Cross multiply
    45,427.50x = 68,141.86 × 14,262.75
  4. Step 4: Simplify right side
    45,427.50x = 971,890,278.06
  5. Step 5: Solve for x
    x = 971,890,278.06/45,427.50
  6. Step 6: Final answer
    x = 21,394.32

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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.