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Finding the Fourth Proportional to 27,172.71, 40,770.75 and 14,701.50

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Solution

The fourth proportional to 27,172.71, 40,770.75 and 14,701.50 is: 22,058.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,172.71 : 40,770.75 = 14,701.50 : x
  2. Step 2: Convert to fraction form
    27,172.71/40,770.75 = 14,701.50/x
  3. Step 3: Cross multiply
    27,172.71x = 40,770.75 × 14,701.50
  4. Step 4: Simplify right side
    27,172.71x = 599,391,181.13
  5. Step 5: Solve for x
    x = 599,391,181.13/27,172.71
  6. Step 6: Final answer
    x = 22,058.57

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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.