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Finding the Fourth Proportional to 76,490.38, 105,471.64 and 52,295.29

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Solution

The fourth proportional to 76,490.38, 105,471.64 and 52,295.29 is: 72,109.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,490.38 : 105,471.64 = 52,295.29 : x
  2. Step 2: Convert to fraction form
    76,490.38/105,471.64 = 52,295.29/x
  3. Step 3: Cross multiply
    76,490.38x = 105,471.64 × 52,295.29
  4. Step 4: Simplify right side
    76,490.38x = 5,515,669,508.10
  5. Step 5: Solve for x
    x = 5,515,669,508.10/76,490.38
  6. Step 6: Final answer
    x = 72,109.33

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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.