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Finding the Fourth Proportional to 47,586.12, 65,668.71 and 26,365.38

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Solution

The fourth proportional to 47,586.12, 65,668.71 and 26,365.38 is: 36,384.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,586.12 : 65,668.71 = 26,365.38 : x
  2. Step 2: Convert to fraction form
    47,586.12/65,668.71 = 26,365.38/x
  3. Step 3: Cross multiply
    47,586.12x = 65,668.71 × 26,365.38
  4. Step 4: Simplify right side
    47,586.12x = 1,731,380,493.26
  5. Step 5: Solve for x
    x = 1,731,380,493.26/47,586.12
  6. Step 6: Final answer
    x = 36,384.15

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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.