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Finding the Fourth Proportional to 47,479.84, 71,169.54 and 17,884.87

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Solution

The fourth proportional to 47,479.84, 71,169.54 and 17,884.87 is: 26,808.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,479.84 : 71,169.54 = 17,884.87 : x
  2. Step 2: Convert to fraction form
    47,479.84/71,169.54 = 17,884.87/x
  3. Step 3: Cross multiply
    47,479.84x = 71,169.54 × 17,884.87
  4. Step 4: Simplify right side
    47,479.84x = 1,272,857,970.86
  5. Step 5: Solve for x
    x = 1,272,857,970.86/47,479.84
  6. Step 6: Final answer
    x = 26,808.39

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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.