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Finding the Fourth Proportional to 33,045.76, 49,575.68 and 9,672.96

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Solution

The fourth proportional to 33,045.76, 49,575.68 and 9,672.96 is: 14,511.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,045.76 : 49,575.68 = 9,672.96 : x
  2. Step 2: Convert to fraction form
    33,045.76/49,575.68 = 9,672.96/x
  3. Step 3: Cross multiply
    33,045.76x = 49,575.68 × 9,672.96
  4. Step 4: Simplify right side
    33,045.76x = 479,543,569.61
  5. Step 5: Solve for x
    x = 479,543,569.61/33,045.76
  6. Step 6: Final answer
    x = 14,511.50

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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.