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Finding the Fourth Proportional to 27,502.80, 41,256.90 and 10,864.50

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Solution

The fourth proportional to 27,502.80, 41,256.90 and 10,864.50 is: 16,297.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,502.80 : 41,256.90 = 10,864.50 : x
  2. Step 2: Convert to fraction form
    27,502.80/41,256.90 = 10,864.50/x
  3. Step 3: Cross multiply
    27,502.80x = 41,256.90 × 10,864.50
  4. Step 4: Simplify right side
    27,502.80x = 448,235,590.05
  5. Step 5: Solve for x
    x = 448,235,590.05/27,502.80
  6. Step 6: Final answer
    x = 16,297.82

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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.