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Finding the Fourth Proportional to 114,574.92, 171,821.37 and 39,674.96

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Solution

The fourth proportional to 114,574.92, 171,821.37 and 39,674.96 is: 59,498.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,574.92 : 171,821.37 = 39,674.96 : x
  2. Step 2: Convert to fraction form
    114,574.92/171,821.37 = 39,674.96/x
  3. Step 3: Cross multiply
    114,574.92x = 171,821.37 × 39,674.96
  4. Step 4: Simplify right side
    114,574.92x = 6,817,005,122.79
  5. Step 5: Solve for x
    x = 6,817,005,122.79/114,574.92
  6. Step 6: Final answer
    x = 59,498.23

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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.