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Finding the Fourth Proportional to 55,743.84, 83,571.84 and 27,645.12

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Solution

The fourth proportional to 55,743.84, 83,571.84 and 27,645.12 is: 41,445.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,743.84 : 83,571.84 = 27,645.12 : x
  2. Step 2: Convert to fraction form
    55,743.84/83,571.84 = 27,645.12/x
  3. Step 3: Cross multiply
    55,743.84x = 83,571.84 × 27,645.12
  4. Step 4: Simplify right side
    55,743.84x = 2,310,353,545.42
  5. Step 5: Solve for x
    x = 2,310,353,545.42/55,743.84
  6. Step 6: Final answer
    x = 41,445.90

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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.