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Finding the Fourth Proportional to 116,993.54, 175,478.70 and 32,761.10

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Solution

The fourth proportional to 116,993.54, 175,478.70 and 32,761.10 is: 49,138.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,993.54 : 175,478.70 = 32,761.10 : x
  2. Step 2: Convert to fraction form
    116,993.54/175,478.70 = 32,761.10/x
  3. Step 3: Cross multiply
    116,993.54x = 175,478.70 × 32,761.10
  4. Step 4: Simplify right side
    116,993.54x = 5,748,875,238.57
  5. Step 5: Solve for x
    x = 5,748,875,238.57/116,993.54
  6. Step 6: Final answer
    x = 49,138.40

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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.