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Finding the Fourth Proportional to 47,709.46, 65,730.74 and 36,917.22

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Solution

The fourth proportional to 47,709.46, 65,730.74 and 36,917.22 is: 50,861.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,709.46 : 65,730.74 = 36,917.22 : x
  2. Step 2: Convert to fraction form
    47,709.46/65,730.74 = 36,917.22/x
  3. Step 3: Cross multiply
    47,709.46x = 65,730.74 × 36,917.22
  4. Step 4: Simplify right side
    47,709.46x = 2,426,596,281.64
  5. Step 5: Solve for x
    x = 2,426,596,281.64/47,709.46
  6. Step 6: Final answer
    x = 50,861.96

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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.