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Finding the Fourth Proportional to 47,855.02, 71,782.54 and 21,529

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Solution

The fourth proportional to 47,855.02, 71,782.54 and 21,529 is: 32,293.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,855.02 : 71,782.54 = 21,529 : x
  2. Step 2: Convert to fraction form
    47,855.02/71,782.54 = 21,529/x
  3. Step 3: Cross multiply
    47,855.02x = 71,782.54 × 21,529
  4. Step 4: Simplify right side
    47,855.02x = 1,545,406,303.66
  5. Step 5: Solve for x
    x = 1,545,406,303.66/47,855.02
  6. Step 6: Final answer
    x = 32,293.50

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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.