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Finding the Fourth Proportional to 45,225, 62,410.50 and 27,561

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Solution

The fourth proportional to 45,225, 62,410.50 and 27,561 is: 38,034.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,225 : 62,410.50 = 27,561 : x
  2. Step 2: Convert to fraction form
    45,225/62,410.50 = 27,561/x
  3. Step 3: Cross multiply
    45,225x = 62,410.50 × 27,561
  4. Step 4: Simplify right side
    45,225x = 1,720,095,790.50
  5. Step 5: Solve for x
    x = 1,720,095,790.50/45,225
  6. Step 6: Final answer
    x = 38,034.18

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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.