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Finding the Fourth Proportional to 47,771.76, 71,657.62 and 16,607

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Solution

The fourth proportional to 47,771.76, 71,657.62 and 16,607 is: 24,910.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,771.76 : 71,657.62 = 16,607 : x
  2. Step 2: Convert to fraction form
    47,771.76/71,657.62 = 16,607/x
  3. Step 3: Cross multiply
    47,771.76x = 71,657.62 × 16,607
  4. Step 4: Simplify right side
    47,771.76x = 1,190,018,095.34
  5. Step 5: Solve for x
    x = 1,190,018,095.34/47,771.76
  6. Step 6: Final answer
    x = 24,910.49

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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.