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Finding the Fourth Proportional to 27,502.69, 41,261.33 and 9,975.10

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Solution

The fourth proportional to 27,502.69, 41,261.33 and 9,975.10 is: 14,965.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,502.69 : 41,261.33 = 9,975.10 : x
  2. Step 2: Convert to fraction form
    27,502.69/41,261.33 = 9,975.10/x
  3. Step 3: Cross multiply
    27,502.69x = 41,261.33 × 9,975.10
  4. Step 4: Simplify right side
    27,502.69x = 411,585,892.88
  5. Step 5: Solve for x
    x = 411,585,892.88/27,502.69
  6. Step 6: Final answer
    x = 14,965.30

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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.