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Finding the Fourth Proportional to 76,693.44, 105,834.32 and 43,152.96

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Solution

The fourth proportional to 76,693.44, 105,834.32 and 43,152.96 is: 59,549.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,693.44 : 105,834.32 = 43,152.96 : x
  2. Step 2: Convert to fraction form
    76,693.44/105,834.32 = 43,152.96/x
  3. Step 3: Cross multiply
    76,693.44x = 105,834.32 × 43,152.96
  4. Step 4: Simplify right side
    76,693.44x = 4,567,064,177.59
  5. Step 5: Solve for x
    x = 4,567,064,177.59/76,693.44
  6. Step 6: Final answer
    x = 59,549.61

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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.