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Finding the Fourth Proportional to 27,807.84, 41,672.76 and 19,980

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Solution

The fourth proportional to 27,807.84, 41,672.76 and 19,980 is: 29,941.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,807.84 : 41,672.76 = 19,980 : x
  2. Step 2: Convert to fraction form
    27,807.84/41,672.76 = 19,980/x
  3. Step 3: Cross multiply
    27,807.84x = 41,672.76 × 19,980
  4. Step 4: Simplify right side
    27,807.84x = 832,621,744.80
  5. Step 5: Solve for x
    x = 832,621,744.80/27,807.84
  6. Step 6: Final answer
    x = 29,941.98

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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.