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Finding the Fourth Proportional to 47,596.70, 71,506.02 and 40,953.80

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Solution

The fourth proportional to 47,596.70, 71,506.02 and 40,953.80 is: 61,526.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,596.70 : 71,506.02 = 40,953.80 : x
  2. Step 2: Convert to fraction form
    47,596.70/71,506.02 = 40,953.80/x
  3. Step 3: Cross multiply
    47,596.70x = 71,506.02 × 40,953.80
  4. Step 4: Simplify right side
    47,596.70x = 2,928,443,241.88
  5. Step 5: Solve for x
    x = 2,928,443,241.88/47,596.70
  6. Step 6: Final answer
    x = 61,526.18

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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.