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Finding the Fourth Proportional to 27,762.80, 41,663.40 and 19,977.20

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Solution

The fourth proportional to 27,762.80, 41,663.40 and 19,977.20 is: 29,979.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,762.80 : 41,663.40 = 19,977.20 : x
  2. Step 2: Convert to fraction form
    27,762.80/41,663.40 = 19,977.20/x
  3. Step 3: Cross multiply
    27,762.80x = 41,663.40 × 19,977.20
  4. Step 4: Simplify right side
    27,762.80x = 832,318,074.48
  5. Step 5: Solve for x
    x = 832,318,074.48/27,762.80
  6. Step 6: Final answer
    x = 29,979.62

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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.