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Finding the Fourth Proportional to 47,745.83, 71,509.75 and 22,803.46

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Solution

The fourth proportional to 47,745.83, 71,509.75 and 22,803.46 is: 34,153.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,745.83 : 71,509.75 = 22,803.46 : x
  2. Step 2: Convert to fraction form
    47,745.83/71,509.75 = 22,803.46/x
  3. Step 3: Cross multiply
    47,745.83x = 71,509.75 × 22,803.46
  4. Step 4: Simplify right side
    47,745.83x = 1,630,669,487.95
  5. Step 5: Solve for x
    x = 1,630,669,487.95/47,745.83
  6. Step 6: Final answer
    x = 34,153.13

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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.