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Finding the Fourth Proportional to 27,306, 40,965.50 and 8,838

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Solution

The fourth proportional to 27,306, 40,965.50 and 8,838 is: 13,259.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,306 : 40,965.50 = 8,838 : x
  2. Step 2: Convert to fraction form
    27,306/40,965.50 = 8,838/x
  3. Step 3: Cross multiply
    27,306x = 40,965.50 × 8,838
  4. Step 4: Simplify right side
    27,306x = 362,053,089
  5. Step 5: Solve for x
    x = 362,053,089/27,306
  6. Step 6: Final answer
    x = 13,259.10

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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.