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Finding the Fourth Proportional to 45,932, 68,907.74 and 14,769.68

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Solution

The fourth proportional to 45,932, 68,907.74 and 14,769.68 is: 22,157.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,932 : 68,907.74 = 14,769.68 : x
  2. Step 2: Convert to fraction form
    45,932/68,907.74 = 14,769.68/x
  3. Step 3: Cross multiply
    45,932x = 68,907.74 × 14,769.68
  4. Step 4: Simplify right side
    45,932x = 1,017,745,269.32
  5. Step 5: Solve for x
    x = 1,017,745,269.32/45,932
  6. Step 6: Final answer
    x = 22,157.65

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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.