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Finding the Fourth Proportional to 123,703.16, 185,562.24 and 34,963.31

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Solution

The fourth proportional to 123,703.16, 185,562.24 and 34,963.31 is: 52,447.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,703.16 : 185,562.24 = 34,963.31 : x
  2. Step 2: Convert to fraction form
    123,703.16/185,562.24 = 34,963.31/x
  3. Step 3: Cross multiply
    123,703.16x = 185,562.24 × 34,963.31
  4. Step 4: Simplify right side
    123,703.16x = 6,487,870,121.41
  5. Step 5: Solve for x
    x = 6,487,870,121.41/123,703.16
  6. Step 6: Final answer
    x = 52,447.08

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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.