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Finding the Fourth Proportional to 55,812.80, 83,721.64 and 27,746.30

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Solution

The fourth proportional to 55,812.80, 83,721.64 and 27,746.30 is: 41,620.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,812.80 : 83,721.64 = 27,746.30 : x
  2. Step 2: Convert to fraction form
    55,812.80/83,721.64 = 27,746.30/x
  3. Step 3: Cross multiply
    55,812.80x = 83,721.64 × 27,746.30
  4. Step 4: Simplify right side
    55,812.80x = 2,322,965,739.93
  5. Step 5: Solve for x
    x = 2,322,965,739.93/55,812.80
  6. Step 6: Final answer
    x = 41,620.66

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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.