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Finding the Fourth Proportional to 76,049.32, 104,946.24 and 44,229.28

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Solution

The fourth proportional to 76,049.32, 104,946.24 and 44,229.28 is: 61,035.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,049.32 : 104,946.24 = 44,229.28 : x
  2. Step 2: Convert to fraction form
    76,049.32/104,946.24 = 44,229.28/x
  3. Step 3: Cross multiply
    76,049.32x = 104,946.24 × 44,229.28
  4. Step 4: Simplify right side
    76,049.32x = 4,641,696,633.91
  5. Step 5: Solve for x
    x = 4,641,696,633.91/76,049.32
  6. Step 6: Final answer
    x = 61,035.35

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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.