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Finding the Fourth Proportional to 48,687.50, 73,031.34 and 15,855.50

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Solution

The fourth proportional to 48,687.50, 73,031.34 and 15,855.50 is: 23,783.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,687.50 : 73,031.34 = 15,855.50 : x
  2. Step 2: Convert to fraction form
    48,687.50/73,031.34 = 15,855.50/x
  3. Step 3: Cross multiply
    48,687.50x = 73,031.34 × 15,855.50
  4. Step 4: Simplify right side
    48,687.50x = 1,157,948,411.37
  5. Step 5: Solve for x
    x = 1,157,948,411.37/48,687.50
  6. Step 6: Final answer
    x = 23,783.28

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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.