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Finding the Fourth Proportional to 73,031.64, 109,546.32 and 37,472.44

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Solution

The fourth proportional to 73,031.64, 109,546.32 and 37,472.44 is: 56,208.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,031.64 : 109,546.32 = 37,472.44 : x
  2. Step 2: Convert to fraction form
    73,031.64/109,546.32 = 37,472.44/x
  3. Step 3: Cross multiply
    73,031.64x = 109,546.32 × 37,472.44
  4. Step 4: Simplify right side
    73,031.64x = 4,104,967,903.42
  5. Step 5: Solve for x
    x = 4,104,967,903.42/73,031.64
  6. Step 6: Final answer
    x = 56,208.08

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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.