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Finding the Fourth Proportional to 46,771.52, 70,187.84 and 17,189.60

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Solution

The fourth proportional to 46,771.52, 70,187.84 and 17,189.60 is: 25,795.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,771.52 : 70,187.84 = 17,189.60 : x
  2. Step 2: Convert to fraction form
    46,771.52/70,187.84 = 17,189.60/x
  3. Step 3: Cross multiply
    46,771.52x = 70,187.84 × 17,189.60
  4. Step 4: Simplify right side
    46,771.52x = 1,206,500,894.46
  5. Step 5: Solve for x
    x = 1,206,500,894.46/46,771.52
  6. Step 6: Final answer
    x = 25,795.63

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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.