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Finding the Fourth Proportional to 47,762.98, 65,892.46 and 29,826.84

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Solution

The fourth proportional to 47,762.98, 65,892.46 and 29,826.84 is: 41,148.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,762.98 : 65,892.46 = 29,826.84 : x
  2. Step 2: Convert to fraction form
    47,762.98/65,892.46 = 29,826.84/x
  3. Step 3: Cross multiply
    47,762.98x = 65,892.46 × 29,826.84
  4. Step 4: Simplify right side
    47,762.98x = 1,965,363,861.63
  5. Step 5: Solve for x
    x = 1,965,363,861.63/47,762.98
  6. Step 6: Final answer
    x = 41,148.27

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.