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Finding the Fourth Proportional to 116,102.25, 174,155.54 and 32,998.41

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Solution

The fourth proportional to 116,102.25, 174,155.54 and 32,998.41 is: 49,498.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,102.25 : 174,155.54 = 32,998.41 : x
  2. Step 2: Convert to fraction form
    116,102.25/174,155.54 = 32,998.41/x
  3. Step 3: Cross multiply
    116,102.25x = 174,155.54 × 32,998.41
  4. Step 4: Simplify right side
    116,102.25x = 5,746,855,747.70
  5. Step 5: Solve for x
    x = 5,746,855,747.70/116,102.25
  6. Step 6: Final answer
    x = 49,498.23

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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.