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Finding the Fourth Proportional to 76,490.91, 105,541.22 and 44,645.46

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Solution

The fourth proportional to 76,490.91, 105,541.22 and 44,645.46 is: 61,601.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,490.91 : 105,541.22 = 44,645.46 : x
  2. Step 2: Convert to fraction form
    76,490.91/105,541.22 = 44,645.46/x
  3. Step 3: Cross multiply
    76,490.91x = 105,541.22 × 44,645.46
  4. Step 4: Simplify right side
    76,490.91x = 4,711,936,092.63
  5. Step 5: Solve for x
    x = 4,711,936,092.63/76,490.91
  6. Step 6: Final answer
    x = 61,601.26

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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.