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Finding the Fourth Proportional to 114,658.50, 171,995.33 and 30,417.48

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Solution

The fourth proportional to 114,658.50, 171,995.33 and 30,417.48 is: 45,628.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,658.50 : 171,995.33 = 30,417.48 : x
  2. Step 2: Convert to fraction form
    114,658.50/171,995.33 = 30,417.48/x
  3. Step 3: Cross multiply
    114,658.50x = 171,995.33 × 30,417.48
  4. Step 4: Simplify right side
    114,658.50x = 5,231,664,510.37
  5. Step 5: Solve for x
    x = 5,231,664,510.37/114,658.50
  6. Step 6: Final answer
    x = 45,628.23

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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.