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Finding the Fourth Proportional to 45,206.50, 67,809.76 and 17,504.50

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Solution

The fourth proportional to 45,206.50, 67,809.76 and 17,504.50 is: 26,256.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,206.50 : 67,809.76 = 17,504.50 : x
  2. Step 2: Convert to fraction form
    45,206.50/67,809.76 = 17,504.50/x
  3. Step 3: Cross multiply
    45,206.50x = 67,809.76 × 17,504.50
  4. Step 4: Simplify right side
    45,206.50x = 1,186,975,943.92
  5. Step 5: Solve for x
    x = 1,186,975,943.92/45,206.50
  6. Step 6: Final answer
    x = 26,256.75

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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.