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Finding the Fourth Proportional to 33,498, 50,242.95 and 11,007.54

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Solution

The fourth proportional to 33,498, 50,242.95 and 11,007.54 is: 16,509.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,498 : 50,242.95 = 11,007.54 : x
  2. Step 2: Convert to fraction form
    33,498/50,242.95 = 11,007.54/x
  3. Step 3: Cross multiply
    33,498x = 50,242.95 × 11,007.54
  4. Step 4: Simplify right side
    33,498x = 553,051,281.84
  5. Step 5: Solve for x
    x = 553,051,281.84/33,498
  6. Step 6: Final answer
    x = 16,509.98

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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.