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Finding the Fourth Proportional to 123,474.48, 185,237.64 and 40,362

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Solution

The fourth proportional to 123,474.48, 185,237.64 and 40,362 is: 60,551.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,474.48 : 185,237.64 = 40,362 : x
  2. Step 2: Convert to fraction form
    123,474.48/185,237.64 = 40,362/x
  3. Step 3: Cross multiply
    123,474.48x = 185,237.64 × 40,362
  4. Step 4: Simplify right side
    123,474.48x = 7,476,561,625.68
  5. Step 5: Solve for x
    x = 7,476,561,625.68/123,474.48
  6. Step 6: Final answer
    x = 60,551.47

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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.