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Finding the Fourth Proportional to 51,456, 70,960.56 and 33,564.72

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Solution

The fourth proportional to 51,456, 70,960.56 and 33,564.72 is: 46,287.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,456 : 70,960.56 = 33,564.72 : x
  2. Step 2: Convert to fraction form
    51,456/70,960.56 = 33,564.72/x
  3. Step 3: Cross multiply
    51,456x = 70,960.56 × 33,564.72
  4. Step 4: Simplify right side
    51,456x = 2,381,771,327.44
  5. Step 5: Solve for x
    x = 2,381,771,327.44/51,456
  6. Step 6: Final answer
    x = 46,287.53

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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.