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Finding the Fourth Proportional to 76,558.47, 105,635.24 and 44,721.21

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Solution

The fourth proportional to 76,558.47, 105,635.24 and 44,721.21 is: 61,706.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,558.47 : 105,635.24 = 44,721.21 : x
  2. Step 2: Convert to fraction form
    76,558.47/105,635.24 = 44,721.21/x
  3. Step 3: Cross multiply
    76,558.47x = 105,635.24 × 44,721.21
  4. Step 4: Simplify right side
    76,558.47x = 4,724,136,091.67
  5. Step 5: Solve for x
    x = 4,724,136,091.67/76,558.47
  6. Step 6: Final answer
    x = 61,706.25

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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.