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Finding the Fourth Proportional to 100,596.29, 150,965.33 and 47,290.70

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Solution

The fourth proportional to 100,596.29, 150,965.33 and 47,290.70 is: 70,969.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,596.29 : 150,965.33 = 47,290.70 : x
  2. Step 2: Convert to fraction form
    100,596.29/150,965.33 = 47,290.70/x
  3. Step 3: Cross multiply
    100,596.29x = 150,965.33 × 47,290.70
  4. Step 4: Simplify right side
    100,596.29x = 7,139,255,494.83
  5. Step 5: Solve for x
    x = 7,139,255,494.83/100,596.29
  6. Step 6: Final answer
    x = 70,969.38

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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.