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Finding the Fourth Proportional to 27,063.20, 40,611 and 9,547.76

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Solution

The fourth proportional to 27,063.20, 40,611 and 9,547.76 is: 14,327.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,063.20 : 40,611 = 9,547.76 : x
  2. Step 2: Convert to fraction form
    27,063.20/40,611 = 9,547.76/x
  3. Step 3: Cross multiply
    27,063.20x = 40,611 × 9,547.76
  4. Step 4: Simplify right side
    27,063.20x = 387,744,081.36
  5. Step 5: Solve for x
    x = 387,744,081.36/27,063.20
  6. Step 6: Final answer
    x = 14,327.36

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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.