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Finding the Fourth Proportional to 40,894.84, 61,365.92 and 17,200.48

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Solution

The fourth proportional to 40,894.84, 61,365.92 and 17,200.48 is: 25,810.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,894.84 : 61,365.92 = 17,200.48 : x
  2. Step 2: Convert to fraction form
    40,894.84/61,365.92 = 17,200.48/x
  3. Step 3: Cross multiply
    40,894.84x = 61,365.92 × 17,200.48
  4. Step 4: Simplify right side
    40,894.84x = 1,055,523,279.64
  5. Step 5: Solve for x
    x = 1,055,523,279.64/40,894.84
  6. Step 6: Final answer
    x = 25,810.67

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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.