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Finding the Fourth Proportional to 47,687.94, 65,808.74 and 26,466.74

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Solution

The fourth proportional to 47,687.94, 65,808.74 and 26,466.74 is: 36,523.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,687.94 : 65,808.74 = 26,466.74 : x
  2. Step 2: Convert to fraction form
    47,687.94/65,808.74 = 26,466.74/x
  3. Step 3: Cross multiply
    47,687.94x = 65,808.74 × 26,466.74
  4. Step 4: Simplify right side
    47,687.94x = 1,741,742,811.31
  5. Step 5: Solve for x
    x = 1,741,742,811.31/47,687.94
  6. Step 6: Final answer
    x = 36,523.76

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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.