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Finding the Fourth Proportional to 27,576, 38,061.36 and 16,404.48

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Solution

The fourth proportional to 27,576, 38,061.36 and 16,404.48 is: 22,642.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,576 : 38,061.36 = 16,404.48 : x
  2. Step 2: Convert to fraction form
    27,576/38,061.36 = 16,404.48/x
  3. Step 3: Cross multiply
    27,576x = 38,061.36 × 16,404.48
  4. Step 4: Simplify right side
    27,576x = 624,376,818.89
  5. Step 5: Solve for x
    x = 624,376,818.89/27,576
  6. Step 6: Final answer
    x = 22,642.04

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1.5x scale

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.