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Finding the Fourth Proportional to 32,031.76, 48,057.92 and 15,393

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Solution

The fourth proportional to 32,031.76, 48,057.92 and 15,393 is: 23,094.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,031.76 : 48,057.92 = 15,393 : x
  2. Step 2: Convert to fraction form
    32,031.76/48,057.92 = 15,393/x
  3. Step 3: Cross multiply
    32,031.76x = 48,057.92 × 15,393
  4. Step 4: Simplify right side
    32,031.76x = 739,755,485.60
  5. Step 5: Solve for x
    x = 739,755,485.60/32,031.76
  6. Step 6: Final answer
    x = 23,094.44

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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.