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Finding the Fourth Proportional to 47,323, 70,996.50 and 17,740.92

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Solution

The fourth proportional to 47,323, 70,996.50 and 17,740.92 is: 26,615.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,323 : 70,996.50 = 17,740.92 : x
  2. Step 2: Convert to fraction form
    47,323/70,996.50 = 17,740.92/x
  3. Step 3: Cross multiply
    47,323x = 70,996.50 × 17,740.92
  4. Step 4: Simplify right side
    47,323x = 1,259,543,226.78
  5. Step 5: Solve for x
    x = 1,259,543,226.78/47,323
  6. Step 6: Final answer
    x = 26,615.88

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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.