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Finding the Fourth Proportional to 55,369.32, 82,995.66 and 27,609

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Solution

The fourth proportional to 55,369.32, 82,995.66 and 27,609 is: 41,384.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,369.32 : 82,995.66 = 27,609 : x
  2. Step 2: Convert to fraction form
    55,369.32/82,995.66 = 27,609/x
  3. Step 3: Cross multiply
    55,369.32x = 82,995.66 × 27,609
  4. Step 4: Simplify right side
    55,369.32x = 2,291,427,176.94
  5. Step 5: Solve for x
    x = 2,291,427,176.94/55,369.32
  6. Step 6: Final answer
    x = 41,384.42

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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.