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Finding the Fourth Proportional to 109,745.64, 164,666.03 and 38,719.10

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Solution

The fourth proportional to 109,745.64, 164,666.03 and 38,719.10 is: 58,095.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,745.64 : 164,666.03 = 38,719.10 : x
  2. Step 2: Convert to fraction form
    109,745.64/164,666.03 = 38,719.10/x
  3. Step 3: Cross multiply
    109,745.64x = 164,666.03 × 38,719.10
  4. Step 4: Simplify right side
    109,745.64x = 6,375,720,700.24
  5. Step 5: Solve for x
    x = 6,375,720,700.24/109,745.64
  6. Step 6: Final answer
    x = 58,095.44

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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.