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Finding the Fourth Proportional to 47,073, 64,966.50 and 27,201

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Solution

The fourth proportional to 47,073, 64,966.50 and 27,201 is: 37,540.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,073 : 64,966.50 = 27,201 : x
  2. Step 2: Convert to fraction form
    47,073/64,966.50 = 27,201/x
  3. Step 3: Cross multiply
    47,073x = 64,966.50 × 27,201
  4. Step 4: Simplify right side
    47,073x = 1,767,153,766.50
  5. Step 5: Solve for x
    x = 1,767,153,766.50/47,073
  6. Step 6: Final answer
    x = 37,540.71

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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.