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Finding the Fourth Proportional to 103,069.72, 154,605.66 and 32,947.48

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Solution

The fourth proportional to 103,069.72, 154,605.66 and 32,947.48 is: 49,421.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,069.72 : 154,605.66 = 32,947.48 : x
  2. Step 2: Convert to fraction form
    103,069.72/154,605.66 = 32,947.48/x
  3. Step 3: Cross multiply
    103,069.72x = 154,605.66 × 32,947.48
  4. Step 4: Simplify right side
    103,069.72x = 5,093,866,890.74
  5. Step 5: Solve for x
    x = 5,093,866,890.74/103,069.72
  6. Step 6: Final answer
    x = 49,421.57

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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.