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Finding the Fourth Proportional to 47,191.54, 70,787.87 and 16,029.22

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Solution

The fourth proportional to 47,191.54, 70,787.87 and 16,029.22 is: 24,044.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,191.54 : 70,787.87 = 16,029.22 : x
  2. Step 2: Convert to fraction form
    47,191.54/70,787.87 = 16,029.22/x
  3. Step 3: Cross multiply
    47,191.54x = 70,787.87 × 16,029.22
  4. Step 4: Simplify right side
    47,191.54x = 1,134,674,341.56
  5. Step 5: Solve for x
    x = 1,134,674,341.56/47,191.54
  6. Step 6: Final answer
    x = 24,044.02

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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.