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Finding the Fourth Proportional to 47,846.96, 66,024.50 and 27,705.20

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Solution

The fourth proportional to 47,846.96, 66,024.50 and 27,705.20 is: 38,230.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,846.96 : 66,024.50 = 27,705.20 : x
  2. Step 2: Convert to fraction form
    47,846.96/66,024.50 = 27,705.20/x
  3. Step 3: Cross multiply
    47,846.96x = 66,024.50 × 27,705.20
  4. Step 4: Simplify right side
    47,846.96x = 1,829,221,977.40
  5. Step 5: Solve for x
    x = 1,829,221,977.40/47,846.96
  6. Step 6: Final answer
    x = 38,230.69

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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.