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Finding the Fourth Proportional to 130,949, 196,423.50 and 32,453

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Solution

The fourth proportional to 130,949, 196,423.50 and 32,453 is: 48,679.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,949 : 196,423.50 = 32,453 : x
  2. Step 2: Convert to fraction form
    130,949/196,423.50 = 32,453/x
  3. Step 3: Cross multiply
    130,949x = 196,423.50 × 32,453
  4. Step 4: Simplify right side
    130,949x = 6,374,531,845.50
  5. Step 5: Solve for x
    x = 6,374,531,845.50/130,949
  6. Step 6: Final answer
    x = 48,679.50

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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.