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Finding the Fourth Proportional to 79,586.64, 109,832.76 and 47,743.92

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Solution

The fourth proportional to 79,586.64, 109,832.76 and 47,743.92 is: 65,888.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,586.64 : 109,832.76 = 47,743.92 : x
  2. Step 2: Convert to fraction form
    79,586.64/109,832.76 = 47,743.92/x
  3. Step 3: Cross multiply
    79,586.64x = 109,832.76 × 47,743.92
  4. Step 4: Simplify right side
    79,586.64x = 5,243,846,506.82
  5. Step 5: Solve for x
    x = 5,243,846,506.82/79,586.64
  6. Step 6: Final answer
    x = 65,888.53

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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.