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Finding the Fourth Proportional to 27,573, 38,038.92 and 21,580.62

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Solution

The fourth proportional to 27,573, 38,038.92 and 21,580.62 is: 29,772.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,573 : 38,038.92 = 21,580.62 : x
  2. Step 2: Convert to fraction form
    27,573/38,038.92 = 21,580.62/x
  3. Step 3: Cross multiply
    27,573x = 38,038.92 × 21,580.62
  4. Step 4: Simplify right side
    27,573x = 820,903,477.73
  5. Step 5: Solve for x
    x = 820,903,477.73/27,573
  6. Step 6: Final answer
    x = 29,772.00

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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.