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Finding the Fourth Proportional to 109,463.76, 164,163.92 and 37,409.40

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Solution

The fourth proportional to 109,463.76, 164,163.92 and 37,409.40 is: 56,103.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,463.76 : 164,163.92 = 37,409.40 : x
  2. Step 2: Convert to fraction form
    109,463.76/164,163.92 = 37,409.40/x
  3. Step 3: Cross multiply
    109,463.76x = 164,163.92 × 37,409.40
  4. Step 4: Simplify right side
    109,463.76x = 6,141,273,748.85
  5. Step 5: Solve for x
    x = 6,141,273,748.85/109,463.76
  6. Step 6: Final answer
    x = 56,103.26

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1.5x scale

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.