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Finding the Fourth Proportional to 33,042.75, 49,554.41 and 9,663.63

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Solution

The fourth proportional to 33,042.75, 49,554.41 and 9,663.63 is: 14,492.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,042.75 : 49,554.41 = 9,663.63 : x
  2. Step 2: Convert to fraction form
    33,042.75/49,554.41 = 9,663.63/x
  3. Step 3: Cross multiply
    33,042.75x = 49,554.41 × 9,663.63
  4. Step 4: Simplify right side
    33,042.75x = 478,875,434.79
  5. Step 5: Solve for x
    x = 478,875,434.79/33,042.75
  6. Step 6: Final answer
    x = 14,492.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.