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Finding the Fourth Proportional to 117,683.56, 176,523.81 and 28,937.84

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Solution

The fourth proportional to 117,683.56, 176,523.81 and 28,937.84 is: 43,406.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,683.56 : 176,523.81 = 28,937.84 : x
  2. Step 2: Convert to fraction form
    117,683.56/176,523.81 = 28,937.84/x
  3. Step 3: Cross multiply
    117,683.56x = 176,523.81 × 28,937.84
  4. Step 4: Simplify right side
    117,683.56x = 5,108,217,027.07
  5. Step 5: Solve for x
    x = 5,108,217,027.07/117,683.56
  6. Step 6: Final answer
    x = 43,406.38

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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.