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Finding the Fourth Proportional to 116,446.40, 174,669.60 and 32,206.40

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Solution

The fourth proportional to 116,446.40, 174,669.60 and 32,206.40 is: 48,309.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,446.40 : 174,669.60 = 32,206.40 : x
  2. Step 2: Convert to fraction form
    116,446.40/174,669.60 = 32,206.40/x
  3. Step 3: Cross multiply
    116,446.40x = 174,669.60 × 32,206.40
  4. Step 4: Simplify right side
    116,446.40x = 5,625,479,005.44
  5. Step 5: Solve for x
    x = 5,625,479,005.44/116,446.40
  6. Step 6: Final answer
    x = 48,309.60

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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.