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Finding the Fourth Proportional to 47,526.40, 71,212.80 and 29,964.80

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Solution

The fourth proportional to 47,526.40, 71,212.80 and 29,964.80 is: 44,898.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,526.40 : 71,212.80 = 29,964.80 : x
  2. Step 2: Convert to fraction form
    47,526.40/71,212.80 = 29,964.80/x
  3. Step 3: Cross multiply
    47,526.40x = 71,212.80 × 29,964.80
  4. Step 4: Simplify right side
    47,526.40x = 2,133,877,309.44
  5. Step 5: Solve for x
    x = 2,133,877,309.44/47,526.40
  6. Step 6: Final answer
    x = 44,898.78

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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.