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Finding the Fourth Proportional to 76,732.34, 105,883.89 and 42,738.26

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Solution

The fourth proportional to 76,732.34, 105,883.89 and 42,738.26 is: 58,975.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,732.34 : 105,883.89 = 42,738.26 : x
  2. Step 2: Convert to fraction form
    76,732.34/105,883.89 = 42,738.26/x
  3. Step 3: Cross multiply
    76,732.34x = 105,883.89 × 42,738.26
  4. Step 4: Simplify right side
    76,732.34x = 4,525,293,220.63
  5. Step 5: Solve for x
    x = 4,525,293,220.63/76,732.34
  6. Step 6: Final answer
    x = 58,975.05

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.