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Finding the Fourth Proportional to 47,776.50, 71,679.87 and 21,483.54

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Solution

The fourth proportional to 47,776.50, 71,679.87 and 21,483.54 is: 32,232.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,776.50 : 71,679.87 = 21,483.54 : x
  2. Step 2: Convert to fraction form
    47,776.50/71,679.87 = 21,483.54/x
  3. Step 3: Cross multiply
    47,776.50x = 71,679.87 × 21,483.54
  4. Step 4: Simplify right side
    47,776.50x = 1,539,937,354.34
  5. Step 5: Solve for x
    x = 1,539,937,354.34/47,776.50
  6. Step 6: Final answer
    x = 32,232.11

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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.