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Finding the Fourth Proportional to 33,014.76, 45,578.02 and 25,829.40

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Solution

The fourth proportional to 33,014.76, 45,578.02 and 25,829.40 is: 35,658.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,014.76 : 45,578.02 = 25,829.40 : x
  2. Step 2: Convert to fraction form
    33,014.76/45,578.02 = 25,829.40/x
  3. Step 3: Cross multiply
    33,014.76x = 45,578.02 × 25,829.40
  4. Step 4: Simplify right side
    33,014.76x = 1,177,252,909.79
  5. Step 5: Solve for x
    x = 1,177,252,909.79/33,014.76
  6. Step 6: Final answer
    x = 35,658.38

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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.