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Finding the Fourth Proportional to 115,591, 173,386.50 and 32,485

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Solution

The fourth proportional to 115,591, 173,386.50 and 32,485 is: 48,727.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,591 : 173,386.50 = 32,485 : x
  2. Step 2: Convert to fraction form
    115,591/173,386.50 = 32,485/x
  3. Step 3: Cross multiply
    115,591x = 173,386.50 × 32,485
  4. Step 4: Simplify right side
    115,591x = 5,632,460,452.50
  5. Step 5: Solve for x
    x = 5,632,460,452.50/115,591
  6. Step 6: Final answer
    x = 48,727.50

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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.