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Finding the Fourth Proportional to 55,312, 82,976.32 and 17,859.52

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Solution

The fourth proportional to 55,312, 82,976.32 and 17,859.52 is: 26,791.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,312 : 82,976.32 = 17,859.52 : x
  2. Step 2: Convert to fraction form
    55,312/82,976.32 = 17,859.52/x
  3. Step 3: Cross multiply
    55,312x = 82,976.32 × 17,859.52
  4. Step 4: Simplify right side
    55,312x = 1,481,917,246.57
  5. Step 5: Solve for x
    x = 1,481,917,246.57/55,312
  6. Step 6: Final answer
    x = 26,791.97

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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.