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Finding the Fourth Proportional to 37,545.30, 51,811.73 and 20,549.14

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Solution

The fourth proportional to 37,545.30, 51,811.73 and 20,549.14 is: 28,357.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,545.30 : 51,811.73 = 20,549.14 : x
  2. Step 2: Convert to fraction form
    37,545.30/51,811.73 = 20,549.14/x
  3. Step 3: Cross multiply
    37,545.30x = 51,811.73 × 20,549.14
  4. Step 4: Simplify right side
    37,545.30x = 1,064,686,571.84
  5. Step 5: Solve for x
    x = 1,064,686,571.84/37,545.30
  6. Step 6: Final answer
    x = 28,357.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.