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Finding the Fourth Proportional to 27,725, 41,574.54 and 9,244.04

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Solution

The fourth proportional to 27,725, 41,574.54 and 9,244.04 is: 13,861.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,725 : 41,574.54 = 9,244.04 : x
  2. Step 2: Convert to fraction form
    27,725/41,574.54 = 9,244.04/x
  3. Step 3: Cross multiply
    27,725x = 41,574.54 × 9,244.04
  4. Step 4: Simplify right side
    27,725x = 384,316,710.74
  5. Step 5: Solve for x
    x = 384,316,710.74/27,725
  6. Step 6: Final answer
    x = 13,861.74

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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.