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Finding the Fourth Proportional to 33,192.84, 49,762.23 and 15,434.69

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Solution

The fourth proportional to 33,192.84, 49,762.23 and 15,434.69 is: 23,139.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,192.84 : 49,762.23 = 15,434.69 : x
  2. Step 2: Convert to fraction form
    33,192.84/49,762.23 = 15,434.69/x
  3. Step 3: Cross multiply
    33,192.84x = 49,762.23 × 15,434.69
  4. Step 4: Simplify right side
    33,192.84x = 768,064,344.95
  5. Step 5: Solve for x
    x = 768,064,344.95/33,192.84
  6. Step 6: Final answer
    x = 23,139.46

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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.