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Finding the Fourth Proportional to 47,833.83, 71,753.72 and 14,556.33

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Solution

The fourth proportional to 47,833.83, 71,753.72 and 14,556.33 is: 21,835.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,833.83 : 71,753.72 = 14,556.33 : x
  2. Step 2: Convert to fraction form
    47,833.83/71,753.72 = 14,556.33/x
  3. Step 3: Cross multiply
    47,833.83x = 71,753.72 × 14,556.33
  4. Step 4: Simplify right side
    47,833.83x = 1,044,470,754.27
  5. Step 5: Solve for x
    x = 1,044,470,754.27/47,833.83
  6. Step 6: Final answer
    x = 21,835.40

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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.