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Finding the Fourth Proportional to 123,838.44, 185,733.48 and 39,576

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Solution

The fourth proportional to 123,838.44, 185,733.48 and 39,576 is: 59,356.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,838.44 : 185,733.48 = 39,576 : x
  2. Step 2: Convert to fraction form
    123,838.44/185,733.48 = 39,576/x
  3. Step 3: Cross multiply
    123,838.44x = 185,733.48 × 39,576
  4. Step 4: Simplify right side
    123,838.44x = 7,350,588,204.48
  5. Step 5: Solve for x
    x = 7,350,588,204.48/123,838.44
  6. Step 6: Final answer
    x = 59,356.27

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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.