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Finding the Fourth Proportional to 47,658.92, 65,777.87 and 27,513

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Solution

The fourth proportional to 47,658.92, 65,777.87 and 27,513 is: 37,972.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,658.92 : 65,777.87 = 27,513 : x
  2. Step 2: Convert to fraction form
    47,658.92/65,777.87 = 27,513/x
  3. Step 3: Cross multiply
    47,658.92x = 65,777.87 × 27,513
  4. Step 4: Simplify right side
    47,658.92x = 1,809,746,606.09
  5. Step 5: Solve for x
    x = 1,809,746,606.09/47,658.92
  6. Step 6: Final answer
    x = 37,972.89

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1.5x scale

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.