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Finding the Fourth Proportional to 109,946.70, 164,887.65 and 43,364.70

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Solution

The fourth proportional to 109,946.70, 164,887.65 and 43,364.70 is: 65,034.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,946.70 : 164,887.65 = 43,364.70 : x
  2. Step 2: Convert to fraction form
    109,946.70/164,887.65 = 43,364.70/x
  3. Step 3: Cross multiply
    109,946.70x = 164,887.65 × 43,364.70
  4. Step 4: Simplify right side
    109,946.70x = 7,150,303,475.96
  5. Step 5: Solve for x
    x = 7,150,303,475.96/109,946.70
  6. Step 6: Final answer
    x = 65,034.27

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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.