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Finding the Fourth Proportional to 47,823.54, 65,992.40 and 27,681.67

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Solution

The fourth proportional to 47,823.54, 65,992.40 and 27,681.67 is: 38,198.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,823.54 : 65,992.40 = 27,681.67 : x
  2. Step 2: Convert to fraction form
    47,823.54/65,992.40 = 27,681.67/x
  3. Step 3: Cross multiply
    47,823.54x = 65,992.40 × 27,681.67
  4. Step 4: Simplify right side
    47,823.54x = 1,826,779,839.31
  5. Step 5: Solve for x
    x = 1,826,779,839.31/47,823.54
  6. Step 6: Final answer
    x = 38,198.34

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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.