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Finding the Fourth Proportional to 47,699.19, 71,524.17 and 25,222.01

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Solution

The fourth proportional to 47,699.19, 71,524.17 and 25,222.01 is: 37,819.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,699.19 : 71,524.17 = 25,222.01 : x
  2. Step 2: Convert to fraction form
    47,699.19/71,524.17 = 25,222.01/x
  3. Step 3: Cross multiply
    47,699.19x = 71,524.17 × 25,222.01
  4. Step 4: Simplify right side
    47,699.19x = 1,803,982,973.36
  5. Step 5: Solve for x
    x = 1,803,982,973.36/47,699.19
  6. Step 6: Final answer
    x = 37,819.99

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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.