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Finding the Fourth Proportional to 33,041.50, 45,567.02 and 21,706.50

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Solution

The fourth proportional to 33,041.50, 45,567.02 and 21,706.50 is: 29,935.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,041.50 : 45,567.02 = 21,706.50 : x
  2. Step 2: Convert to fraction form
    33,041.50/45,567.02 = 21,706.50/x
  3. Step 3: Cross multiply
    33,041.50x = 45,567.02 × 21,706.50
  4. Step 4: Simplify right side
    33,041.50x = 989,100,519.63
  5. Step 5: Solve for x
    x = 989,100,519.63/33,041.50
  6. Step 6: Final answer
    x = 29,935.10

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.