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Finding the Fourth Proportional to 94,558.38, 130,490.10 and 52,116

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Solution

The fourth proportional to 94,558.38, 130,490.10 and 52,116 is: 71,919.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,558.38 : 130,490.10 = 52,116 : x
  2. Step 2: Convert to fraction form
    94,558.38/130,490.10 = 52,116/x
  3. Step 3: Cross multiply
    94,558.38x = 130,490.10 × 52,116
  4. Step 4: Simplify right side
    94,558.38x = 6,800,622,051.60
  5. Step 5: Solve for x
    x = 6,800,622,051.60/94,558.38
  6. Step 6: Final answer
    x = 71,919.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.