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Finding the Fourth Proportional to 66,682.50, 100,024.71 and 17,434.50

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Solution

The fourth proportional to 66,682.50, 100,024.71 and 17,434.50 is: 26,152.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,682.50 : 100,024.71 = 17,434.50 : x
  2. Step 2: Convert to fraction form
    66,682.50/100,024.71 = 17,434.50/x
  3. Step 3: Cross multiply
    66,682.50x = 100,024.71 × 17,434.50
  4. Step 4: Simplify right side
    66,682.50x = 1,743,880,806.50
  5. Step 5: Solve for x
    x = 1,743,880,806.50/66,682.50
  6. Step 6: Final answer
    x = 26,152.00

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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.