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Finding the Fourth Proportional to 76,342.25, 105,330.62 and 44,505

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Solution

The fourth proportional to 76,342.25, 105,330.62 and 44,505 is: 61,404.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,342.25 : 105,330.62 = 44,505 : x
  2. Step 2: Convert to fraction form
    76,342.25/105,330.62 = 44,505/x
  3. Step 3: Cross multiply
    76,342.25x = 105,330.62 × 44,505
  4. Step 4: Simplify right side
    76,342.25x = 4,687,739,020.58
  5. Step 5: Solve for x
    x = 4,687,739,020.58/76,342.25
  6. Step 6: Final answer
    x = 61,404.26

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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.