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Finding the Fourth Proportional to 47,773.90, 65,926.53 and 27,355.30

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Solution

The fourth proportional to 47,773.90, 65,926.53 and 27,355.30 is: 37,749.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,773.90 : 65,926.53 = 27,355.30 : x
  2. Step 2: Convert to fraction form
    47,773.90/65,926.53 = 27,355.30/x
  3. Step 3: Cross multiply
    47,773.90x = 65,926.53 × 27,355.30
  4. Step 4: Simplify right side
    47,773.90x = 1,803,440,006.11
  5. Step 5: Solve for x
    x = 1,803,440,006.11/47,773.90
  6. Step 6: Final answer
    x = 37,749.48

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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.