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Finding the Fourth Proportional to 77,661.64, 116,462.90 and 27,732.44

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Solution

The fourth proportional to 77,661.64, 116,462.90 and 27,732.44 is: 41,588.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,661.64 : 116,462.90 = 27,732.44 : x
  2. Step 2: Convert to fraction form
    77,661.64/116,462.90 = 27,732.44/x
  3. Step 3: Cross multiply
    77,661.64x = 116,462.90 × 27,732.44
  4. Step 4: Simplify right side
    77,661.64x = 3,229,800,386.48
  5. Step 5: Solve for x
    x = 3,229,800,386.48/77,661.64
  6. Step 6: Final answer
    x = 41,588.10

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.