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Finding the Fourth Proportional to 114,574.56, 171,839.61 and 57,633.30

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Solution

The fourth proportional to 114,574.56, 171,839.61 and 57,633.30 is: 86,438.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,574.56 : 171,839.61 = 57,633.30 : x
  2. Step 2: Convert to fraction form
    114,574.56/171,839.61 = 57,633.30/x
  3. Step 3: Cross multiply
    114,574.56x = 171,839.61 × 57,633.30
  4. Step 4: Simplify right side
    114,574.56x = 9,903,683,795.01
  5. Step 5: Solve for x
    x = 9,903,683,795.01/114,574.56
  6. Step 6: Final answer
    x = 86,438.77

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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.