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Finding the Fourth Proportional to 27,953.70, 41,933.28 and 10,419.43

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Solution

The fourth proportional to 27,953.70, 41,933.28 and 10,419.43 is: 15,630.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,953.70 : 41,933.28 = 10,419.43 : x
  2. Step 2: Convert to fraction form
    27,953.70/41,933.28 = 10,419.43/x
  3. Step 3: Cross multiply
    27,953.70x = 41,933.28 × 10,419.43
  4. Step 4: Simplify right side
    27,953.70x = 436,920,875.63
  5. Step 5: Solve for x
    x = 436,920,875.63/27,953.70
  6. Step 6: Final answer
    x = 15,630.16

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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.